90978327825 has 96 divisors (see below), whose sum is σ = 192602434560. Its totient is φ = 36787219200.

The previous prime is 90978327809. The next prime is 90978327871. The reversal of 90978327825 is 52872387909.

It is not a de Polignac number, because 90978327825 - 2⁴ = 90978327809 is a prime.

It is a super-2 number, since 2×90978327825² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 786 + ... + 426564.

It is an arithmetic number, because the mean of its divisors is an integer number (2006275360).

Almost surely, 2^90978327825 is an apocalyptic number.

It is an amenable number.

90978327825 is an abundant number, since it is smaller than the sum of its proper divisors (101624106735).

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

90978327825 is a wasteful number, since it uses less digits than its factorization.

90978327825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425847 (or 425842 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 90978327825 in words is "ninety billion, nine hundred seventy-eight million, three hundred twenty-seven thousand, eight hundred twenty-five".