91983783074040 has 2048 divisors, whose sum is σ = 386394624000000. Its totient is φ = 19146129408000.

The previous prime is 91983783074039. The next prime is 91983783074083. The reversal of 91983783074040 is 4047038738919.

91983783074040 is a `hidden beast` number, since 9 + 198 + 3 + 7 + 8 + 30 + 7 + 404 + 0 = 666.

It is a super-2 number, since 2×91983783074040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 33460814586 + ... + 33460817334.

It is an arithmetic number, because the mean of its divisors is an integer number (188669250000).

Almost surely, 2^{91983783074040} is an apocalyptic number.

91983783074040 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 91983783074040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193197312000000).

91983783074040 is an abundant number, since it is smaller than the sum of its proper divisors (294410840925960).

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

91983783074040 is a wasteful number, since it uses less digits than its factorization.

91983783074040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 91983783074040 in words is "ninety-one trillion, nine hundred eighty-three billion, seven hundred eighty-three million, seventy-four thousand, forty".