91273951872 has 320 divisors, whose sum is σ = 280414189440. Its totient is φ = 29455073280.

The previous prime is 91273951871. The next prime is 91273951877. The reversal of 91273951872 is 27815937219.

It is a happy number.

91273951872 is a `hidden beast` number, since 9 + 1 + 27 + 39 + 518 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (91273951871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47266747 + ... + 47268677.

It is an arithmetic number, because the mean of its divisors is an integer number (876294342).

Almost surely, 2^91273951872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91273951872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140207094720).

91273951872 is an abundant number, since it is smaller than the sum of its proper divisors (189140237568).

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

91273951872 is a wasteful number, since it uses less digits than its factorization.

91273951872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2101 (or 2080 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

The spelling of 91273951872 in words is "ninety-one billion, two hundred seventy-three million, nine hundred fifty-one thousand, eight hundred seventy-two".