90127486800 has 180 divisors, whose sum is σ = 336826621404. Its totient is φ = 22185216000.

The previous prime is 90127486783. The next prime is 90127486819. The reversal of 90127486800 is 868472109.

90127486800 is a `hidden beast` number, since 90 + 1 + 2 + 7 + 486 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9557799696 + 80569687104 = 97764^2 + 283848^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 35 ways as a sum of consecutive naturals, for example, 916101 + ... + 1009700.

Almost surely, 2^90127486800 is an apocalyptic number.

90127486800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90127486800 is an abundant number, since it is smaller than the sum of its proper divisors (246699134604).

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

90127486800 is a wasteful number, since it uses less digits than its factorization.

90127486800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925838 (or 1925824 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 90127486800 in words is "ninety billion, one hundred twenty-seven million, four hundred eighty-six thousand, eight hundred".