90283777079040 has 432 divisors, whose sum is σ = 324388214212608. Its totient is φ = 24042497200128.

The previous prime is 90283777079009. The next prime is 90283777079063. The reversal of 90283777079040 is 4097077738209.

90283777079040 is a `hidden beast` number, since 90 + 2 + 8 + 377 + 70 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

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, 225926449 + ... + 226325711.

Almost surely, 2^{90283777079040} is an apocalyptic number.

90283777079040 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 90283777079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162194107106304).

90283777079040 is an abundant number, since it is smaller than the sum of its proper divisors (234104437133568).

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

90283777079040 is an equidigital number, since it uses as much as digits as its factorization.

90283777079040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400026 (or 400000 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 90283777079040 in words is "ninety trillion, two hundred eighty-three billion, seven hundred seventy-seven million, seventy-nine thousand, forty".