91020948480 has 1408 divisors, whose sum is σ = 427861647360. Its totient is φ = 17765498880.

The previous prime is 91020948379. The next prime is 91020948527. The reversal of 91020948480 is 8484902019.

91020948480 is a `hidden beast` number, since 91 + 0 + 2 + 0 + 9 + 484 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180955909 + ... + 180956411.

Almost surely, 2^91020948480 is an apocalyptic number.

91020948480 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 91020948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213930823680).

91020948480 is an abundant number, since it is smaller than the sum of its proper divisors (336840698880).

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

91020948480 is a wasteful number, since it uses less digits than its factorization.

91020948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 91020948480 in words is "ninety-one billion, twenty million, nine hundred forty-eight thousand, four hundred eighty".