10572538139100 has 216 divisors, whose sum is σ = 37883112770048. Its totient is φ = 2415946435200.

The previous prime is 10572538139099. The next prime is 10572538139161. The reversal of 10572538139100 is 193183527501.

10572538139100 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 538 + 1 + 3 + 9 + 100 = 666.

10572538139100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10572538139100² (a number of 27 digits) contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 24017985 + ... + 24454215.

Almost surely, 2^{10572538139100} is an apocalyptic number.

10572538139100 is a gapful number since it is divisible by the number (10) 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 10572538139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18941556385024).

10572538139100 is an abundant number, since it is smaller than the sum of its proper divisors (27310574630948).

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

10572538139100 is a wasteful number, since it uses less digits than its factorization.

10572538139100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440105 (or 440095 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 10572538139100 in words is "ten trillion, five hundred seventy-two billion, five hundred thirty-eight million, one hundred thirty-nine thousand, one hundred".