88155078960 has 640 divisors, whose sum is σ = 328298987520. Its totient is φ = 19347406848.

The previous prime is 88155078953. The next prime is 88155078967. The reversal of 88155078960 is 6987055188.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (88155078953) and next prime (88155078967).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88155078960.

It is not an unprimeable number, because it can be changed into a prime (88155078967) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 154929556 + ... + 154930124.

It is an arithmetic number, because the mean of its divisors is an integer number (512967168).

Almost surely, 2^88155078960 is an apocalyptic number.

88155078960 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 88155078960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164149493760).

88155078960 is an abundant number, since it is smaller than the sum of its proper divisors (240143908560).

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

88155078960 is a wasteful number, since it uses less digits than its factorization.

88155078960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 57.

The spelling of 88155078960 in words is "eighty-eight billion, one hundred fifty-five million, seventy-eight thousand, nine hundred sixty".