88978310400 has 864 divisors, whose sum is σ = 357129642240. Its totient is φ = 19074908160.

The previous prime is 88978310389. The next prime is 88978310417. The reversal of 88978310400 is 401387988.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88978310400.

It is a congruent number.

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, 144210892 + ... + 144211508.

Almost surely, 2^88978310400 is an apocalyptic number.

88978310400 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 88978310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178564821120).

88978310400 is an abundant number, since it is smaller than the sum of its proper divisors (268151331840).

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

88978310400 is a wasteful number, since it uses less digits than its factorization.

88978310400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 88978310400 in words is "eighty-eight billion, nine hundred seventy-eight million, three hundred ten thousand, four hundred".