10457384716800 has 1440 divisors, whose sum is σ = 43774181523072. Its totient is φ = 2334588272640.

The previous prime is 10457384716799. The next prime is 10457384716811. The reversal of 10457384716800 is 861748375401.

10457384716800 is a `hidden beast` number, since 1 + 0 + 4 + 573 + 8 + 4 + 7 + 1 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 13120934002 + ... + 13120934798.

Almost surely, 2^{10457384716800} is an apocalyptic number.

10457384716800 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 10457384716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21887090761536).

10457384716800 is an abundant number, since it is smaller than the sum of its proper divisors (33316796806272).

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

10457384716800 is a wasteful number, since it uses less digits than its factorization.

10457384716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 10457384716800 in words is "ten trillion, four hundred fifty-seven billion, three hundred eighty-four million, seven hundred sixteen thousand, eight hundred".