89971893692160 has 288 divisors, whose sum is σ = 296638639976448. Its totient is φ = 23216860692480.

The previous prime is 89971893692159. The next prime is 89971893692243. The reversal of 89971893692160 is 6129639817998.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3070384069 + ... + 3070413371.

It is an arithmetic number, because the mean of its divisors is an integer number (1029995277696).

Almost surely, 2^{89971893692160} is an apocalyptic number.

89971893692160 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 89971893692160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148319319988224).

89971893692160 is an abundant number, since it is smaller than the sum of its proper divisors (206666746284288).

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

89971893692160 is a wasteful number, since it uses less digits than its factorization.

89971893692160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55151 (or 55137 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 78.

The spelling of 89971893692160 in words is "eighty-nine trillion, nine hundred seventy-one billion, eight hundred ninety-three million, six hundred ninety-two thousand, one hundred sixty".