88380505382400 has 4800 divisors, whose sum is σ = 430029984890880. Its totient is φ = 17382010060800.

The previous prime is 88380505382387. The next prime is 88380505382401. The reversal of 88380505382400 is 428350508388.

88380505382400 is a `hidden beast` number, since 8 + 8 + 3 + 80 + 5 + 0 + 538 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×88380505382400² (a number of 29 digits) contains 22 as substring.

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 (88380505382401) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 233193945411 + ... + 233193945789.

Almost surely, 2^{88380505382400} is an apocalyptic number.

88380505382400 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 88380505382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215014992445440).

88380505382400 is an abundant number, since it is smaller than the sum of its proper divisors (341649479508480).

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

88380505382400 is a wasteful number, since it uses less digits than its factorization.

88380505382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 88380505382400 in words is "eighty-eight trillion, three hundred eighty billion, five hundred five million, three hundred eighty-two thousand, four hundred".