52757649648 has 400 divisors, whose sum is σ = 172673233920. Its totient is φ = 15412723200.

The previous prime is 52757649643. The next prime is 52757649653. The reversal of 52757649648 is 84694675725.

52757649648 is a `hidden beast` number, since 5 + 2 + 75 + 76 + 496 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (52757649643) and next prime (52757649653).

It is a super-2 number, since 2×52757649648² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52757649643) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47571718 + ... + 47572826.

Almost surely, 2^52757649648 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 52757649648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86336616960).

52757649648 is an abundant number, since it is smaller than the sum of its proper divisors (119915584272).

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

52757649648 is a wasteful number, since it uses less digits than its factorization.

52757649648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1243 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 52757649648 in words is "fifty-two billion, seven hundred fifty-seven million, six hundred forty-nine thousand, six hundred forty-eight".