90987202378800 has 6720 divisors, whose sum is σ = 451744419840000. Its totient is φ = 17421514629120.

The previous prime is 90987202378799. The next prime is 90987202378817. The reversal of 90987202378800 is 887320278909.

It is a happy number.

90987202378800 is a `hidden beast` number, since 90 + 9 + 87 + 20 + 2 + 378 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1343 ways as a sum of consecutive naturals, for example, 716434664337 + ... + 716434664463.

It is an arithmetic number, because the mean of its divisors is an integer number (67223872000).

Almost surely, 2^{90987202378800} is an apocalyptic number.

90987202378800 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 90987202378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225872209920000).

90987202378800 is an abundant number, since it is smaller than the sum of its proper divisors (360757217461200).

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

90987202378800 is a wasteful number, since it uses less digits than its factorization.

90987202378800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 90987202378800 in words is "ninety trillion, nine hundred eighty-seven billion, two hundred two million, three hundred seventy-eight thousand, eight hundred".