88270828800 has 432 divisors, whose sum is σ = 363200420352. Its totient is φ = 18341683200.

The previous prime is 88270828699. The next prime is 88270828831. The reversal of 88270828800 is 882807288.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448547 + ... + 1508253.

Almost surely, 2^88270828800 is an apocalyptic number.

88270828800 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 88270828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181600210176).

88270828800 is an abundant number, since it is smaller than the sum of its proper divisors (274929591552).

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

88270828800 is a wasteful number, since it uses less digits than its factorization.

88270828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59754 (or 59735 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 51.

The spelling of 88270828800 in words is "eighty-eight billion, two hundred seventy million, eight hundred twenty-eight thousand, eight hundred".