90427765824000 has 5120 divisors, whose sum is σ = 407695505817600. Its totient is φ = 19508428800000.

The previous prime is 90427765823987. The next prime is 90427765824059. The reversal of 90427765824000 is 42856772409.

90427765824000 is a `hidden beast` number, since 90 + 4 + 2 + 7 + 76 + 5 + 82 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 459024191902 + ... + 459024192098.

It is an arithmetic number, because the mean of its divisors is an integer number (79628028480).

Almost surely, 2^{90427765824000} is an apocalyptic number.

90427765824000 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 90427765824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203847752908800).

90427765824000 is an abundant number, since it is smaller than the sum of its proper divisors (317267739993600).

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

90427765824000 is a wasteful number, since it uses less digits than its factorization.

90427765824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 90427765824000 in words is "ninety trillion, four hundred twenty-seven billion, seven hundred sixty-five million, eight hundred twenty-four thousand".