10874701474560 has 3456 divisors, whose sum is σ = 51069829644288. Its totient is φ = 2149908480000.

The previous prime is 10874701474543. The next prime is 10874701474579. The reversal of 10874701474560 is 6547410747801.

10874701474560 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 7 + 0 + 1 + 4 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 10874701474497 and 10874701474506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 72017890485 + ... + 72017890635.

Almost surely, 2^{10874701474560} is an apocalyptic number.

10874701474560 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 10874701474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25534914822144).

10874701474560 is an abundant number, since it is smaller than the sum of its proper divisors (40195128169728).

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

10874701474560 is a wasteful number, since it uses less digits than its factorization.

10874701474560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 10874701474560 in words is "ten trillion, eight hundred seventy-four billion, seven hundred one million, four hundred seventy-four thousand, five hundred sixty".