10172058640 has 40 divisors (see below), whose sum is σ = 23678995608. Its totient is φ = 4063841280.

The previous prime is 10172058587. The next prime is 10172058641. The reversal of 10172058640 is 4685027101.

It can be written as a sum of positive squares in 4 ways, for example, as 401922304 + 9770136336 = 20048^2 + 98844^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10172058596 and 10172058605.

It is not an unprimeable number, because it can be changed into a prime (10172058641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11757 + ... + 143116.

Almost surely, 2^10172058640 is an apocalyptic number.

10172058640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10172058640 is an abundant number, since it is smaller than the sum of its proper divisors (13506936968).

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

10172058640 is a wasteful number, since it uses less digits than its factorization.

10172058640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155707 (or 155701 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The spelling of 10172058640 in words is "ten billion, one hundred seventy-two million, fifty-eight thousand, six hundred forty".