5157167640 has 128 divisors (see below), whose sum is σ = 16180300800. Its totient is φ = 1312509440.

The previous prime is 5157167629. The next prime is 5157167647. The reversal of 5157167640 is 467617515.

It is a junction number, because it is equal to n+sod(n) for n = 5157167592 and 5157167601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5157167647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1403005 + ... + 1406675.

It is an arithmetic number, because the mean of its divisors is an integer number (126408600).

Almost surely, 2^5157167640 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 5157167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090150400).

5157167640 is an abundant number, since it is smaller than the sum of its proper divisors (11023133160).

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

5157167640 is a wasteful number, since it uses less digits than its factorization.

5157167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4217 (or 4213 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 42.

The square root of 5157167640 is about 71813.4224222742. The cubic root of 5157167640 is about 1727.7082867696.

The spelling of 5157167640 in words is "five billion, one hundred fifty-seven million, one hundred sixty-seven thousand, six hundred forty".