90819120948480 has 576 divisors, whose sum is σ = 328455429120000. Its totient is φ = 23756282339328.

The previous prime is 90819120948467. The next prime is 90819120948497. The reversal of 90819120948480 is 8484902191809.

90819120948480 is a `hidden beast` number, since 9 + 0 + 8 + 1 + 91 + 20 + 9 + 48 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×90819120948480² (a number of 29 digits) contains 22 as substring.

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, 944027421 + ... + 944123619.

It is an arithmetic number, because the mean of its divisors is an integer number (570235120000).

Almost surely, 2^{90819120948480} is an apocalyptic number.

90819120948480 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 90819120948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164227714560000).

90819120948480 is an abundant number, since it is smaller than the sum of its proper divisors (237636308171520).

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

90819120948480 is a wasteful number, since it uses less digits than its factorization.

90819120948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96751 (or 96731 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 63.

The spelling of 90819120948480 in words is "ninety trillion, eight hundred nineteen billion, one hundred twenty million, nine hundred forty-eight thousand, four hundred eighty".