90749445120 has 440 divisors, whose sum is σ = 327945513984. Its totient is φ = 23995367424.

The previous prime is 90749445113. The next prime is 90749445121. The reversal of 90749445120 is 2154494709.

90749445120 is a `hidden beast` number, since 90 + 7 + 4 + 9 + 44 + 512 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90749445121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52668579 + ... + 52670301.

Almost surely, 2^90749445120 is an apocalyptic number.

90749445120 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 90749445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163972756992).

90749445120 is an abundant number, since it is smaller than the sum of its proper divisors (237196068864).

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

90749445120 is a wasteful number, since it uses less digits than its factorization.

90749445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 90749445120 in words is "ninety billion, seven hundred forty-nine million, four hundred forty-five thousand, one hundred twenty".