88506403680 has 384 divisors, whose sum is σ = 305794621440. Its totient is φ = 21420933120.

The previous prime is 88506403639. The next prime is 88506403703. The reversal of 88506403680 is 8630460588.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111049042 + ... + 111049838.

It is an arithmetic number, because the mean of its divisors is an integer number (796340160).

Almost surely, 2^88506403680 is an apocalyptic number.

88506403680 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 88506403680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152897310720).

88506403680 is an abundant number, since it is smaller than the sum of its proper divisors (217288217760).

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

88506403680 is a wasteful number, since it uses less digits than its factorization.

88506403680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 88506403680 in words is "eighty-eight billion, five hundred six million, four hundred three thousand, six hundred eighty".