10972474136400 has 720 divisors, whose sum is σ = 42053454531648. Its totient is φ = 2436940800000.

The previous prime is 10972474136389. The next prime is 10972474136419. The reversal of 10972474136400 is 463147427901.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10972474136400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 605101734 + ... + 605119866.

Almost surely, 2^{10972474136400} is an apocalyptic number.

10972474136400 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 10972474136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21026727265824).

10972474136400 is an abundant number, since it is smaller than the sum of its proper divisors (31080980395248).

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

10972474136400 is a wasteful number, since it uses less digits than its factorization.

10972474136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18460 (or 18442 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 10972474136400 in words is "ten trillion, nine hundred seventy-two billion, four hundred seventy-four million, one hundred thirty-six thousand, four hundred".