10093225536576 has 504 divisors, whose sum is σ = 36856848450240. Its totient is φ = 2616826189824.

The previous prime is 10093225536551. The next prime is 10093225536599. The reversal of 10093225536576 is 67563552239001.

10093225536576 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 3 + 22 + 553 + 65 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×10093225536576² (a number of 27 digits) contains 22 as substring.

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, 21414685 + ... + 21880931.

It is an arithmetic number, because the mean of its divisors is an integer number (73128667560).

Almost surely, 2^{10093225536576} is an apocalyptic number.

10093225536576 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 10093225536576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18428424225120).

10093225536576 is an abundant number, since it is smaller than the sum of its proper divisors (26763622913664).

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

10093225536576 is a wasteful number, since it uses less digits than its factorization.

10093225536576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466351 (or 466331 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 10093225536576 in words is "ten trillion, ninety-three billion, two hundred twenty-five million, five hundred thirty-six thousand, five hundred seventy-six".