90105772036491 has 24 divisors (see below), whose sum is σ = 130727553675264. Its totient is φ = 59805241095600.

The previous prime is 90105772036471. The next prime is 90105772036519. The reversal of 90105772036491 is 19463027750109.

90105772036491 is a `hidden beast` number, since 9 + 0 + 1 + 0 + 57 + 72 + 0 + 36 + 491 = 666.

It is not a de Polignac number, because 90105772036491 - 2¹⁷ = 90105771905419 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90105772036421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257011966 + ... + 257362316.

It is an arithmetic number, because the mean of its divisors is an integer number (5446981403136).

Almost surely, 2^{90105772036491} is an apocalyptic number.

90105772036491 is a deficient number, since it is larger than the sum of its proper divisors (40621781638773).

90105772036491 is a wasteful number, since it uses less digits than its factorization.

90105772036491 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476471 (or 476468 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 90105772036491 in words is "ninety trillion, one hundred five billion, seven hundred seventy-two million, thirty-six thousand, four hundred ninety-one".