91508901120 has 1728 divisors, whose sum is σ = 418482215424. Its totient is φ = 18632540160.

The previous prime is 91508901073. The next prime is 91508901131. The reversal of 91508901120 is 2110980519.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1500145890 + ... + 1500145950.

It is an arithmetic number, because the mean of its divisors is an integer number (242177208).

Almost surely, 2^91508901120 is an apocalyptic number.

91508901120 is a gapful number since it is divisible by the number (90) 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 91508901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209241107712).

91508901120 is an abundant number, since it is smaller than the sum of its proper divisors (326973314304).

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

91508901120 is a wasteful number, since it uses less digits than its factorization.

91508901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 91508901120 in words is "ninety-one billion, five hundred eight million, nine hundred one thousand, one hundred twenty".