10057204872 has 288 divisors, whose sum is σ = 33298387200. Its totient is φ = 2715148800.

The previous prime is 10057204837. The next prime is 10057204877. The reversal of 10057204872 is 27840275001.

10057204872 is a `hidden beast` number, since 1 + 0 + 0 + 572 + 0 + 4 + 87 + 2 = 666.

It is a super-2 number, since 2×10057204872² (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 not an unprimeable number, because it can be changed into a prime (10057204877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3880297 + ... + 3882887.

It is an arithmetic number, because the mean of its divisors is an integer number (115619400).

Almost surely, 2^10057204872 is an apocalyptic number.

10057204872 is a gapful number since it is divisible by the number (12) 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 10057204872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16649193600).

10057204872 is an abundant number, since it is smaller than the sum of its proper divisors (23241182328).

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

10057204872 is a wasteful number, since it uses less digits than its factorization.

10057204872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

Adding to 10057204872 its reverse (27840275001), we get a palindrome (37897479873).

The spelling of 10057204872 in words is "ten billion, fifty-seven million, two hundred four thousand, eight hundred seventy-two".