10396134604800 has 3060 divisors, whose sum is σ = 47953313101056. Its totient is φ = 2178573926400.

The previous prime is 10396134604759. The next prime is 10396134604811. The reversal of 10396134604800 is 840643169301.

10396134604800 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 6 + 1 + 34 + 604 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×10396134604800² (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 an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 335359180785 + ... + 335359180815.

Almost surely, 2^{10396134604800} is an apocalyptic number.

10396134604800 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 10396134604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976656550528).

10396134604800 is an abundant number, since it is smaller than the sum of its proper divisors (37557178496256).

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

10396134604800 is an frugal number, since it uses more digits than its factorization.

10396134604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 10396134604800 in words is "ten trillion, three hundred ninety-six billion, one hundred thirty-four million, six hundred four thousand, eight hundred".