91958621040 has 240 divisors, whose sum is σ = 362818965600. Its totient is φ = 20578129920.

The previous prime is 91958621039. The next prime is 91958621047. The reversal of 91958621040 is 4012685919.

91958621040 is a `hidden beast` number, since 9 + 1 + 9 + 586 + 21 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×91958621040³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91958621047) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 343615 + ... + 549534.

It is an arithmetic number, because the mean of its divisors is an integer number (1511745690).

Almost surely, 2^91958621040 is an apocalyptic number.

91958621040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

91958621040 is an abundant number, since it is smaller than the sum of its proper divisors (270860344560).

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

91958621040 is a wasteful number, since it uses less digits than its factorization.

91958621040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893192 (or 893183 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 91958621040 in words is "ninety-one billion, nine hundred fifty-eight million, six hundred twenty-one thousand, forty".