52659617466960 has 1920 divisors, whose sum is σ = 232538060611584. Its totient is φ = 10790948044800.

The previous prime is 52659617466941. The next prime is 52659617466979. The reversal of 52659617466960 is 6966471695625.

52659617466960 is a `hidden beast` number, since 5 + 2 + 6 + 5 + 96 + 17 + 466 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (52659617466941) and next prime (52659617466979).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13674269035 + ... + 13674272885.

Almost surely, 2^{52659617466960} 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 52659617466960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116269030305792).

52659617466960 is an abundant number, since it is smaller than the sum of its proper divisors (179878443144624).

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

52659617466960 is a wasteful number, since it uses less digits than its factorization.

52659617466960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4183 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 52659617466960 in words is "fifty-two trillion, six hundred fifty-nine billion, six hundred seventeen million, four hundred sixty-six thousand, nine hundred sixty".