10325174112000 has 1152 divisors, whose sum is σ = 41955359846400. Its totient is φ = 2479859712000.

The previous prime is 10325174111977. The next prime is 10325174112013. The reversal of 10325174112000 is 21147152301.

10325174112000 is a `hidden beast` number, since 1 + 0 + 32 + 5 + 17 + 411 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10325174112000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1035931017 + ... + 1035940983.

It is an arithmetic number, because the mean of its divisors is an integer number (36419583200).

Almost surely, 2^{10325174112000} is an apocalyptic number.

10325174112000 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 10325174112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977679923200).

10325174112000 is an abundant number, since it is smaller than the sum of its proper divisors (31630185734400).

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

10325174112000 is a wasteful number, since it uses less digits than its factorization.

10325174112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10127 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10325174112000 in words is "ten trillion, three hundred twenty-five billion, one hundred seventy-four million, one hundred twelve thousand".