88419774960 has 400 divisors, whose sum is σ = 337189213152. Its totient is φ = 21295872000.

The previous prime is 88419774931. The next prime is 88419774977. The reversal of 88419774960 is 6947791488.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11187010 + ... + 11194910.

Almost surely, 2^88419774960 is an apocalyptic number.

88419774960 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 88419774960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168594606576).

88419774960 is an abundant number, since it is smaller than the sum of its proper divisors (248769438192).

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

88419774960 is a wasteful number, since it uses less digits than its factorization.

88419774960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8094 (or 8079 counting only the distinct ones).

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

The spelling of 88419774960 in words is "eighty-eight billion, four hundred nineteen million, seven hundred seventy-four thousand, nine hundred sixty".