10536611904 has 567 divisors, whose sum is σ = 38869108317. Its totient is φ = 2719761408.

The previous prime is 10536611893. The next prime is 10536611929. The reversal of 10536611904 is 40911663501.

The square root of 10536611904 is 102648.

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

10536611904 is a `hidden beast` number, since 1 + 0 + 5 + 36 + 611 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1558670400 + 8977941504 = 39480^2 + 94752^2 .

It is a super-2 number, since 2×10536611904² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 224183209 + ... + 224183255.

Almost surely, 2^10536611904 is an apocalyptic number.

10536611904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10536611904 is the 102648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10536611904

10536611904 is an abundant number, since it is smaller than the sum of its proper divisors (28332496413).

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

10536611904 is a wasteful number, since it uses less digits than its factorization.

10536611904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 10536611904 by its sum of digits (36), we get a square (379318028544 = 615888²).

10536611904 divided by its sum of digits (36) gives a square (292683664 = 17108²).

The spelling of 10536611904 in words is "ten billion, five hundred thirty-six million, six hundred eleven thousand, nine hundred four".