90049539317760 has 1792 divisors, whose sum is σ = 365578723491840. Its totient is φ = 20830224384000.

The previous prime is 90049539317737. The next prime is 90049539317807. The reversal of 90049539317760 is 6771393594009.

90049539317760 is a `hidden beast` number, since 9 + 0 + 0 + 4 + 9 + 539 + 31 + 7 + 7 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27529664925 + ... + 27529668195.

Almost surely, 2^{90049539317760} is an apocalyptic number.

90049539317760 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 90049539317760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182789361745920).

90049539317760 is an abundant number, since it is smaller than the sum of its proper divisors (275529184174080).

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

90049539317760 is a wasteful number, since it uses less digits than its factorization.

90049539317760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3426 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 38578680, while the sum is 63.

The spelling of 90049539317760 in words is "ninety trillion, forty-nine billion, five hundred thirty-nine million, three hundred seventeen thousand, seven hundred sixty".