89877997440 has 1024 divisors, whose sum is σ = 409853952000. Its totient is φ = 18065203200.

The previous prime is 89877997411. The next prime is 89877997487. The reversal of 89877997440 is 4479977898.

89877997440 is a `hidden beast` number, since 8 + 98 + 7 + 7 + 9 + 97 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41246271 + ... + 41248449.

It is an arithmetic number, because the mean of its divisors is an integer number (400248000).

Almost surely, 2^89877997440 is an apocalyptic number.

89877997440 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 89877997440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204926976000).

89877997440 is an abundant number, since it is smaller than the sum of its proper divisors (319975954560).

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

89877997440 is a wasteful number, since it uses less digits than its factorization.

89877997440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 89877997440 in words is "eighty-nine billion, eight hundred seventy-seven million, nine hundred ninety-seven thousand, four hundred forty".