90735980639040 has 1568 divisors, whose sum is σ = 369395606704896. Its totient is φ = 21004247531520.

The previous prime is 90735980639039. The next prime is 90735980639077. The reversal of 90735980639040 is 4093608953709.

90735980639040 is a `hidden beast` number, since 9 + 0 + 7 + 3 + 598 + 0 + 6 + 39 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 51760398804 + ... + 51760400556.

Almost surely, 2^{90735980639040} is an apocalyptic number.

90735980639040 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 90735980639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184697803352448).

90735980639040 is an abundant number, since it is smaller than the sum of its proper divisors (278659626065856).

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

90735980639040 is a wasteful number, since it uses less digits than its factorization.

90735980639040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 90735980639040 in words is "ninety trillion, seven hundred thirty-five billion, nine hundred eighty million, six hundred thirty-nine thousand, forty".