20004152688 has 480 divisors, whose sum is σ = 68427620352. Its totient is φ = 5598720000.

The previous prime is 20004152653. The next prime is 20004152699. The reversal of 20004152688 is 88625140002.

It is a super-2 number, since 2×20004152688² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26636313 + ... + 26637063.

Almost surely, 2^20004152688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20004152688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34213810176).

20004152688 is an abundant number, since it is smaller than the sum of its proper divisors (48423467664).

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

20004152688 is a wasteful number, since it uses less digits than its factorization.

20004152688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 20004152688 in words is "twenty billion, four million, one hundred fifty-two thousand, six hundred eighty-eight".