88523623520 has 96 divisors (see below), whose sum is σ = 222324691680. Its totient is φ = 33213542400.

The previous prime is 88523623519. The next prime is 88523623543. The reversal of 88523623520 is 2532632588.

It is a super-2 number, since 2×88523623520² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162884 + ... + 451196.

It is an arithmetic number, because the mean of its divisors is an integer number (2315882205).

Almost surely, 2^88523623520 is an apocalyptic number.

88523623520 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 88523623520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111162345840).

88523623520 is an abundant number, since it is smaller than the sum of its proper divisors (133801068160).

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

88523623520 is a wasteful number, since it uses less digits than its factorization.

88523623520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288448 (or 288440 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 88523623520 in words is "eighty-eight billion, five hundred twenty-three million, six hundred twenty-three thousand, five hundred twenty".