88251966720 has 288 divisors, whose sum is σ = 331595994240. Its totient is φ = 22149365760.

The previous prime is 88251966709. The next prime is 88251966727. The reversal of 88251966720 is 2766915288.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88251966727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512415 + ... + 662625.

It is an arithmetic number, because the mean of its divisors is an integer number (1151374980).

Almost surely, 2^88251966720 is an apocalyptic number.

88251966720 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 88251966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165797997120).

88251966720 is an abundant number, since it is smaller than the sum of its proper divisors (243344027520).

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

88251966720 is a wasteful number, since it uses less digits than its factorization.

88251966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150258 (or 150238 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 88251966720 in words is "eighty-eight billion, two hundred fifty-one million, nine hundred sixty-six thousand, seven hundred twenty".