10572616421136 has 2835 divisors, whose sum is σ = 43608571361733. Its totient is φ = 2472223057920.

The previous prime is 10572616421089. The next prime is 10572616421137. The reversal of 10572616421136 is 63112461627501.

It is a happy number.

The square root of 10572616421136 is 3251556.

It is a perfect power (a square), and thus also a powerful number.

10572616421136 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 2 + 616 + 4 + 21 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8231275760400 + 2341340660736 = 2869020^2 + 1530144^2 .

It is a super-2 number, since 2×10572616421136² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10572616421091 and 10572616421100.

It is not an unprimeable number, because it can be changed into a prime (10572616421137) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 459678974821 + ... + 459678974843.

Almost surely, 2^{10572616421136} is an apocalyptic number.

10572616421136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10572616421136 is the 3251556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10572616421136

10572616421136 is an abundant number, since it is smaller than the sum of its proper divisors (33035954940597).

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

10572616421136 is a wasteful number, since it uses less digits than its factorization.

10572616421136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 10572616421136 in words is "ten trillion, five hundred seventy-two billion, six hundred sixteen million, four hundred twenty-one thousand, one hundred thirty-six".