90677975771808 has 480 divisors, whose sum is σ = 276821012160000. Its totient is φ = 29084086886400.

The previous prime is 90677975771797. The next prime is 90677975771843. The reversal of 90677975771808 is 80817757977609.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 32373428008 + ... + 32373430808.

It is an arithmetic number, because the mean of its divisors is an integer number (576710442000).

Almost surely, 2^{90677975771808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90677975771808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138410506080000).

90677975771808 is an abundant number, since it is smaller than the sum of its proper divisors (186143036388192).

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

90677975771808 is a wasteful number, since it uses less digits than its factorization.

90677975771808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 2613824640, while the sum is 81.

The spelling of 90677975771808 in words is "ninety trillion, six hundred seventy-seven billion, nine hundred seventy-five million, seven hundred seventy-one thousand, eight hundred eight".