88279133040 has 600 divisors, whose sum is σ = 375462196560. Its totient is φ = 19114776576.

The previous prime is 88279133003. The next prime is 88279133051. The reversal of 88279133040 is 4033197288.

88279133040 is a `hidden beast` number, since 8 + 8 + 279 + 1 + 330 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6025564 + ... + 6040196.

Almost surely, 2^88279133040 is an apocalyptic number.

88279133040 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 88279133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187731098280).

88279133040 is an abundant number, since it is smaller than the sum of its proper divisors (287183063520).

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

88279133040 is a wasteful number, since it uses less digits than its factorization.

88279133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14691 (or 14669 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 88279133040 in words is "eighty-eight billion, two hundred seventy-nine million, one hundred thirty-three thousand, forty".