88350357120 has 512 divisors, whose sum is σ = 299400192000. Its totient is φ = 22129459200.

The previous prime is 88350357101. The next prime is 88350357157. The reversal of 88350357120 is 2175305388.

It is a super-4 number, since 4×88350357120⁴ (a number of 45 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488123430 + ... + 488123610.

It is an arithmetic number, because the mean of its divisors is an integer number (584766000).

Almost surely, 2^88350357120 is an apocalyptic number.

88350357120 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 88350357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700096000).

88350357120 is an abundant number, since it is smaller than the sum of its proper divisors (211049834880).

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

88350357120 is a wasteful number, since it uses less digits than its factorization.

88350357120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 88350357120 in words is "eighty-eight billion, three hundred fifty million, three hundred fifty-seven thousand, one hundred twenty".