10457385984 has 352 divisors, whose sum is σ = 34546809600. Its totient is φ = 3105423360.

The previous prime is 10457385979. The next prime is 10457385997. The reversal of 10457385984 is 48958375401.

10457385984 is a `hidden beast` number, since 1 + 0 + 45 + 7 + 3 + 8 + 598 + 4 = 666.

It is a super-3 number, since 3×10457385984³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10457385984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8929719 + ... + 8930889.

Almost surely, 2^10457385984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457385984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17273404800).

10457385984 is an abundant number, since it is smaller than the sum of its proper divisors (24089423616).

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

10457385984 is a wasteful number, since it uses less digits than its factorization.

10457385984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10457385984 in words is "ten billion, four hundred fifty-seven million, three hundred eighty-five thousand, nine hundred eighty-four".