10457916000 has 384 divisors, whose sum is σ = 40864352256. Its totient is φ = 2286028800.

The previous prime is 10457915981. The next prime is 10457916037. The reversal of 10457916000 is 61975401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1929294 + ... + 1934706.

It is an arithmetic number, because the mean of its divisors is an integer number (106417584).

Almost surely, 2^10457916000 is an apocalyptic number.

10457916000 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 10457916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20432176128).

10457916000 is an abundant number, since it is smaller than the sum of its proper divisors (30406436256).

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

10457916000 is a wasteful number, since it uses less digits than its factorization.

10457916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5471 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 10457916000 in words is "ten billion, four hundred fifty-seven million, nine hundred sixteen thousand".