88779608064 has 780 divisors, whose sum is σ = 318170417664. Its totient is φ = 24580620288.

The previous prime is 88779608051. The next prime is 88779608077. The reversal of 88779608064 is 46080697788.

It is an interprime number because it is at equal distance from previous prime (88779608051) and next prime (88779608077).

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

It is a junction number, because it is equal to n+sod(n) for n = 88779607992 and 88779608010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 699051969 + ... + 699052095.

Almost surely, 2^88779608064 is an apocalyptic number.

88779608064 is a gapful number since it is divisible by the number (84) 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 88779608064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159085208832).

88779608064 is an abundant number, since it is smaller than the sum of its proper divisors (229390809600).

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

88779608064 is a wasteful number, since it uses less digits than its factorization.

88779608064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 88779608064 in words is "eighty-eight billion, seven hundred seventy-nine million, six hundred eight thousand, sixty-four".