88790541840 has 960 divisors, whose sum is σ = 402649228800. Its totient is φ = 16933847040.

The previous prime is 88790541839. The next prime is 88790541881. The reversal of 88790541840 is 4814509788.

88790541840 is a `hidden beast` number, since 8 + 8 + 7 + 90 + 541 + 8 + 4 + 0 = 666.

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, 251531104 + ... + 251531456.

It is an arithmetic number, because the mean of its divisors is an integer number (419426280).

Almost surely, 2^88790541840 is an apocalyptic number.

88790541840 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 88790541840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201324614400).

88790541840 is an abundant number, since it is smaller than the sum of its proper divisors (313858686960).

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

88790541840 is a wasteful number, since it uses less digits than its factorization.

88790541840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 88790541840 in words is "eighty-eight billion, seven hundred ninety million, five hundred forty-one thousand, eight hundred forty".