90776125440000 has 5760 divisors, whose sum is σ = 462272277519360. Its totient is φ = 16986931200000.

The previous prime is 90776125439873. The next prime is 90776125440083. The reversal of 90776125440000 is 4452167709.

90776125440000 is a `hidden beast` number, since 90 + 7 + 7 + 6 + 12 + 544 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2214051839980 + ... + 2214051840020.

It is an arithmetic number, because the mean of its divisors is an integer number (80255603736).

Almost surely, 2^{90776125440000} is an apocalyptic number.

90776125440000 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 90776125440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231136138759680).

90776125440000 is an abundant number, since it is smaller than the sum of its proper divisors (371496152079360).

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

90776125440000 is an equidigital number, since it uses as much as digits as its factorization.

90776125440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 90776125440000 in words is "ninety trillion, seven hundred seventy-six billion, one hundred twenty-five million, four hundred forty thousand".