90180385680 has 320 divisors, whose sum is σ = 348977092608. Its totient is φ = 18715361280.

The previous prime is 90180385663. The next prime is 90180385697. The reversal of 90180385680 is 8658308109.

It is an interprime number because it is at equal distance from previous prime (90180385663) and next prime (90180385697).

It is a super-2 number, since 2×90180385680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 17497984 + ... + 17503136.

Almost surely, 2^90180385680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90180385680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174488546304).

90180385680 is an abundant number, since it is smaller than the sum of its proper divisors (258796706928).

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

90180385680 is a wasteful number, since it uses less digits than its factorization.

90180385680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 90180385680 in words is "ninety billion, one hundred eighty million, three hundred eighty-five thousand, six hundred eighty".