88770610960416 has 432 divisors, whose sum is σ = 317155087896192. Its totient is φ = 23054496030720.

The previous prime is 88770610960387. The next prime is 88770610960453. The reversal of 88770610960416 is 61406901607788.

88770610960416 is a `hidden beast` number, since 8 + 8 + 7 + 7 + 0 + 6 + 1 + 0 + 9 + 604 + 16 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2659617520 + ... + 2659650896.

It is an arithmetic number, because the mean of its divisors is an integer number (734155296056).

Almost surely, 2^{88770610960416} 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 88770610960416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158577543948096).

88770610960416 is an abundant number, since it is smaller than the sum of its proper divisors (228384476935776).

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

88770610960416 is a wasteful number, since it uses less digits than its factorization.

88770610960416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44325 (or 44303 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 88770610960416 in words is "eighty-eight trillion, seven hundred seventy billion, six hundred ten million, nine hundred sixty thousand, four hundred sixteen".