90916366680 has 160 divisors (see below), whose sum is σ = 305771336640. Its totient is φ = 24229186560.

The previous prime is 90916366669. The next prime is 90916366703. The reversal of 90916366680 is 8666361909.

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 39 ways as a sum of consecutive naturals, for example, 5749585 + ... + 5765375.

It is an arithmetic number, because the mean of its divisors is an integer number (1911070854).

Almost surely, 2^90916366680 is an apocalyptic number.

90916366680 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 90916366680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152885668320).

90916366680 is an abundant number, since it is smaller than the sum of its proper divisors (214854969960).

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

90916366680 is a wasteful number, since it uses less digits than its factorization.

90916366680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17591 (or 17578 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 90916366680 in words is "ninety billion, nine hundred sixteen million, three hundred sixty-six thousand, six hundred eighty".