20783432498400 has 2016 divisors, whose sum is σ = 92265154652160. Its totient is φ = 4500251136000.

The previous prime is 20783432498383. The next prime is 20783432498401. The reversal of 20783432498400 is 489423438702.

20783432498400 is a `hidden beast` number, since 2 + 0 + 7 + 83 + 4 + 32 + 498 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20783432498401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2585321581 + ... + 2585329619.

It is an arithmetic number, because the mean of its divisors is an integer number (45766445760).

Almost surely, 2^{20783432498400} is an apocalyptic number.

20783432498400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20783432498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46132577326080).

20783432498400 is an abundant number, since it is smaller than the sum of its proper divisors (71481722153760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20783432498400 is a wasteful number, since it uses less digits than its factorization.

20783432498400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8132 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 20783432498400 in words is "twenty trillion, seven hundred eighty-three billion, four hundred thirty-two million, four hundred ninety-eight thousand, four hundred".