91053311173440 has 896 divisors, whose sum is σ = 372563674398720. Its totient is φ = 18284855500800.

The previous prime is 91053311173423. The next prime is 91053311173481. The reversal of 91053311173440 is 4437111335019.

It is a super-2 number, since 2×91053311173440² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 91053311173392 and 91053311173401.

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, 1702572621 + ... + 1702626099.

It is an arithmetic number, because the mean of its divisors is an integer number (415807672320).

Almost surely, 2^{91053311173440} 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 91053311173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186281837199360).

91053311173440 is an abundant number, since it is smaller than the sum of its proper divisors (281510363225280).

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

91053311173440 is a wasteful number, since it uses less digits than its factorization.

91053311173440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54291 (or 54281 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 91053311173440 in words is "ninety-one trillion, fifty-three billion, three hundred eleven million, one hundred seventy-three thousand, four hundred forty".