88132884840 has 768 divisors, whose sum is σ = 396671385600. Its totient is φ = 16901913600.

The previous prime is 88132884817. The next prime is 88132884883. The reversal of 88132884840 is 4848823188.

88132884840 is a `hidden beast` number, since 8 + 81 + 3 + 2 + 88 + 484 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14050905 + ... + 14057175.

It is an arithmetic number, because the mean of its divisors is an integer number (516499200).

Almost surely, 2^88132884840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88132884840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198335692800).

88132884840 is an abundant number, since it is smaller than the sum of its proper divisors (308538500760).

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

88132884840 is a wasteful number, since it uses less digits than its factorization.

88132884840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6335 (or 6312 counting only the distinct ones).

The product of its (nonzero) digits is 3145728, while the sum is 54.

The spelling of 88132884840 in words is "eighty-eight billion, one hundred thirty-two million, eight hundred eighty-four thousand, eight hundred forty".