20136037248000 has 2112 divisors, whose sum is σ = 78119132382720. Its totient is φ = 4978262016000.

The previous prime is 20136037247969. The next prime is 20136037248013. The reversal of 20136037248000 is 84273063102.

It is a happy number.

20136037248000 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 603 + 7 + 2 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153710207935 + ... + 153710208065.

It is an arithmetic number, because the mean of its divisors is an integer number (36988225560).

Almost surely, 2^{20136037248000} is an apocalyptic number.

20136037248000 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 20136037248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39059566191360).

20136037248000 is an abundant number, since it is smaller than the sum of its proper divisors (57983095134720).

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

20136037248000 is a wasteful number, since it uses less digits than its factorization.

20136037248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20136037248000 in words is "twenty trillion, one hundred thirty-six billion, thirty-seven million, two hundred forty-eight thousand".