5101892640 has 144 divisors (see below), whose sum is σ = 18749524248. Its totient is φ = 1255845888.

The previous prime is 5101892623. The next prime is 5101892659. The reversal of 5101892640 is 462981015.

5101892640 is a `hidden beast` number, since 5 + 1 + 0 + 1 + 8 + 9 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3970512144 + 1131380496 = 63012^2 + 33636^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5101892595 and 5101892604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117549 + ... + 154988.

Almost surely, 2^5101892640 is an apocalyptic number.

It is an amenable number.

5101892640 is an abundant number, since it is smaller than the sum of its proper divisors (13647631608).

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

5101892640 is a wasteful number, since it uses less digits than its factorization.

5101892640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272571 (or 272560 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5101892640 is about 71427.5341867546. The cubic root of 5101892640 is about 1721.5135226540.

The spelling of 5101892640 in words is "five billion, one hundred one million, eight hundred ninety-two thousand, six hundred forty".