10536128499456 has 432 divisors, whose sum is σ = 35168573440000. Its totient is φ = 2971496005632.

The previous prime is 10536128499451. The next prime is 10536128499493. The reversal of 10536128499456 is 65499482163501.

10536128499456 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 12 + 84 + 99 + 456 = 666.

It is a super-2 number, since 2×10536128499456² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 10536128499393 and 10536128499402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536128499451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 407590020 + ... + 407615868.

Almost surely, 2^{10536128499456} is an apocalyptic number.

10536128499456 is a gapful number since it is divisible by the number (16) 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 10536128499456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17584286720000).

10536128499456 is an abundant number, since it is smaller than the sum of its proper divisors (24632444940544).

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

10536128499456 is a wasteful number, since it uses less digits than its factorization.

10536128499456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26204 (or 26187 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 10536128499456 in words is "ten trillion, five hundred thirty-six billion, one hundred twenty-eight million, four hundred ninety-nine thousand, four hundred fifty-six".