38992561020 has 288 divisors, whose sum is σ = 149350376448. Its totient is φ = 8023504896.

The previous prime is 38992560991. The next prime is 38992561039. The reversal of 38992561020 is 2016529983.

38992561020 is a `hidden beast` number, since 3 + 8 + 9 + 9 + 2 + 5 + 610 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 453087 + ... + 532233.

It is an arithmetic number, because the mean of its divisors is an integer number (518577696).

Almost surely, 2^38992561020 is an apocalyptic number.

38992561020 is a gapful number since it is divisible by the number (30) 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 38992561020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74675188224).

38992561020 is an abundant number, since it is smaller than the sum of its proper divisors (110357815428).

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

38992561020 is a wasteful number, since it uses less digits than its factorization.

38992561020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79209 (or 79204 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 38992561020 in words is "thirty-eight billion, nine hundred ninety-two million, five hundred sixty-one thousand, twenty".