5702438764512 has 576 divisors, whose sum is σ = 19110749898240. Its totient is φ = 1579457138688.

The previous prime is 5702438764501. The next prime is 5702438764523. The reversal of 5702438764512 is 2154678342075.

5702438764512 is a `hidden beast` number, since 5 + 7 + 0 + 2 + 43 + 87 + 6 + 4 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (5702438764501) and next prime (5702438764523).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2311485903 + ... + 2311488369.

It is an arithmetic number, because the mean of its divisors is an integer number (33178385240).

Almost surely, 2^{5702438764512} 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 5702438764512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555374949120).

5702438764512 is an abundant number, since it is smaller than the sum of its proper divisors (13408311133728).

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

5702438764512 is a wasteful number, since it uses less digits than its factorization.

5702438764512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2823 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5702438764512 in words is "five trillion, seven hundred two billion, four hundred thirty-eight million, seven hundred sixty-four thousand, five hundred twelve".