89900254080 has 2560 divisors, whose sum is σ = 447866496000. Its totient is φ = 16625958912.

The previous prime is 89900254049. The next prime is 89900254121. The reversal of 89900254080 is 8045200998.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1523733091 + ... + 1523733149.

It is an arithmetic number, because the mean of its divisors is an integer number (174947850).

Almost surely, 2^89900254080 is an apocalyptic number.

89900254080 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 89900254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223933248000).

89900254080 is an abundant number, since it is smaller than the sum of its proper divisors (357966241920).

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

89900254080 is a wasteful number, since it uses less digits than its factorization.

89900254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 89900254080 in words is "eighty-nine billion, nine hundred million, two hundred fifty-four thousand, eighty".