10874157465600 has 2448 divisors, whose sum is σ = 47706790569984. Its totient is φ = 2420637696000.

The previous prime is 10874157465583. The next prime is 10874157465601. The reversal of 10874157465600 is 656475147801.

10874157465600 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 1 + 5 + 74 + 6 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10874157465601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56932761505 + ... + 56932761695.

Almost surely, 2^{10874157465600} is an apocalyptic number.

10874157465600 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 10874157465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23853395284992).

10874157465600 is an abundant number, since it is smaller than the sum of its proper divisors (36832633104384).

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

10874157465600 is an equidigital number, since it uses as much as digits as its factorization.

10874157465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 10874157465600 in words is "ten trillion, eight hundred seventy-four billion, one hundred fifty-seven million, four hundred sixty-five thousand, six hundred".