90196016040 has 192 divisors, whose sum is σ = 315830445840. Its totient is φ = 22191943680.

The previous prime is 90196016039. The next prime is 90196016059. The reversal of 90196016040 is 4061069109.

90196016040 is a `hidden beast` number, since 9 + 0 + 1 + 9 + 601 + 6 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17292776004 + 72903240036 = 131502^2 + 270006^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90196015986 and 90196016004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18815884 + ... + 18820676.

Almost surely, 2^90196016040 is an apocalyptic number.

90196016040 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 90196016040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157915222920).

90196016040 is an abundant number, since it is smaller than the sum of its proper divisors (225634429800).

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

90196016040 is a wasteful number, since it uses less digits than its factorization.

90196016040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 90196016040 in words is "ninety billion, one hundred ninety-six million, sixteen thousand, forty".