90755527680 has 704 divisors, whose sum is σ = 343699488000. Its totient is φ = 22645702656.

The previous prime is 90755527679. The next prime is 90755527703. The reversal of 90755527680 is 8672555709.

90755527680 is a `hidden beast` number, since 9 + 0 + 7 + 5 + 552 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286294882 + ... + 286295198.

It is an arithmetic number, because the mean of its divisors is an integer number (488209500).

Almost surely, 2^90755527680 is an apocalyptic number.

90755527680 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 90755527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171849744000).

90755527680 is an abundant number, since it is smaller than the sum of its proper divisors (252943960320).

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

90755527680 is a wasteful number, since it uses less digits than its factorization.

90755527680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 90755527680 in words is "ninety billion, seven hundred fifty-five million, five hundred twenty-seven thousand, six hundred eighty".