88254349440 has 512 divisors, whose sum is σ = 316864224000. Its totient is φ = 20761804800.

The previous prime is 88254349427. The next prime is 88254349451. The reversal of 88254349440 is 4494345288.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62635456 + ... + 62636864.

Almost surely, 2^88254349440 is an apocalyptic number.

88254349440 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 88254349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158432112000).

88254349440 is an abundant number, since it is smaller than the sum of its proper divisors (228609874560).

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

88254349440 is a wasteful number, since it uses less digits than its factorization.

88254349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 88254349440 in words is "eighty-eight billion, two hundred fifty-four million, three hundred forty-nine thousand, four hundred forty".