88265913120 has 576 divisors, whose sum is σ = 387660349440. Its totient is φ = 17748633600.

The previous prime is 88265913101. The next prime is 88265913149. The reversal of 88265913120 is 2131956288.

88265913120 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 591 + 31 + 20 = 666.

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

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, 3424441 + ... + 3450119.

It is an arithmetic number, because the mean of its divisors is an integer number (673021440).

Almost surely, 2^88265913120 is an apocalyptic number.

88265913120 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 88265913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193830174720).

88265913120 is an abundant number, since it is smaller than the sum of its proper divisors (299394436320).

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

88265913120 is a wasteful number, since it uses less digits than its factorization.

88265913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25749 (or 25738 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 88265913120 in words is "eighty-eight billion, two hundred sixty-five million, nine hundred thirteen thousand, one hundred twenty".