88646836368060 has 960 divisors, whose sum is σ = 305384063846400. Its totient is φ = 21446868897792.

The previous prime is 88646836368053. The next prime is 88646836368073. The reversal of 88646836368060 is 6086363864688.

88646836368060 is a `hidden beast` number, since 8 + 86 + 468 + 3 + 6 + 3 + 6 + 80 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 88646836368060.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59775344079 + ... + 59775345561.

It is an arithmetic number, because the mean of its divisors is an integer number (318108399840).

Almost surely, 2^{88646836368060} 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 88646836368060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152692031923200).

88646836368060 is an abundant number, since it is smaller than the sum of its proper divisors (216737227478340).

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

88646836368060 is a wasteful number, since it uses less digits than its factorization.

88646836368060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 88646836368060 in words is "eighty-eight trillion, six hundred forty-six billion, eight hundred thirty-six million, three hundred sixty-eight thousand, sixty".