10057601840 has 160 divisors (see below), whose sum is σ = 27557361216. Its totient is φ = 3365498880.

The previous prime is 10057601821. The next prime is 10057601857. The reversal of 10057601840 is 4810675001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10057601797 and 10057601806.

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, 4265942 + ... + 4268298.

Almost surely, 2^10057601840 is an apocalyptic number.

10057601840 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 10057601840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13778680608).

10057601840 is an abundant number, since it is smaller than the sum of its proper divisors (17499759376).

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

10057601840 is a wasteful number, since it uses less digits than its factorization.

10057601840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767 (or 2761 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The spelling of 10057601840 in words is "ten billion, fifty-seven million, six hundred one thousand, eight hundred forty".