89024788070400 has 4608 divisors, whose sum is σ = 403096368931200. Its totient is φ = 17122826649600.

The previous prime is 89024788070399. The next prime is 89024788070401. The reversal of 89024788070400 is 407088742098.

It is an interprime number because it is at equal distance from previous prime (89024788070399) and next prime (89024788070401).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (89024788070401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1219517644764 + ... + 1219517644836.

Almost surely, 2^{89024788070400} is an apocalyptic number.

89024788070400 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 89024788070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201548184465600).

89024788070400 is an abundant number, since it is smaller than the sum of its proper divisors (314071580860800).

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

89024788070400 is a wasteful number, since it uses less digits than its factorization.

89024788070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 89024788070400 in words is "eighty-nine trillion, twenty-four billion, seven hundred eighty-eight million, seventy thousand, four hundred".