88863413696640 has 768 divisors, whose sum is σ = 349801648035840. Its totient is φ = 21378144153600.

The previous prime is 88863413696593. The next prime is 88863413696657. The reversal of 88863413696640 is 4669631436888.

88863413696640 is a `hidden beast` number, since 8 + 8 + 8 + 63 + 413 + 6 + 96 + 64 + 0 = 666.

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

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, 223906057 + ... + 224302583.

It is an arithmetic number, because the mean of its divisors is an integer number (455470895880).

Almost surely, 2^{88863413696640} is an apocalyptic number.

88863413696640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88863413696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174900824017920).

88863413696640 is an abundant number, since it is smaller than the sum of its proper divisors (260938234339200).

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

88863413696640 is a wasteful number, since it uses less digits than its factorization.

88863413696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396703 (or 396679 counting only the distinct ones).

The product of its (nonzero) digits is 859963392, while the sum is 72.

The spelling of 88863413696640 in words is "eighty-eight trillion, eight hundred sixty-three billion, four hundred thirteen million, six hundred ninety-six thousand, six hundred forty".