89381050274880 has 3584 divisors, whose sum is σ = 406751524945920. Its totient is φ = 18203705081856.

The previous prime is 89381050274821. The next prime is 89381050274909. The reversal of 89381050274880 is 8847205018398.

89381050274880 is a `hidden beast` number, since 8 + 9 + 3 + 8 + 1 + 0 + 502 + 7 + 48 + 80 = 666.

It is a super-2 number, since 2×89381050274880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 347786187712 + ... + 347786187968.

It is an arithmetic number, because the mean of its divisors is an integer number (113490938880).

Almost surely, 2^{89381050274880} is an apocalyptic number.

89381050274880 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 89381050274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203375762472960).

89381050274880 is an abundant number, since it is smaller than the sum of its proper divisors (317370474671040).

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

89381050274880 is a wasteful number, since it uses less digits than its factorization.

89381050274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 89381050274880 in words is "eighty-nine trillion, three hundred eighty-one billion, fifty million, two hundred seventy-four thousand, eight hundred eighty".