90626985146880 has 2880 divisors, whose sum is σ = 429255129663360. Its totient is φ = 18113408925696.

The previous prime is 90626985146821. The next prime is 90626985146933. The reversal of 90626985146880 is 8864158962609.

90626985146880 is a `hidden beast` number, since 9 + 0 + 6 + 2 + 6 + 9 + 85 + 1 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 90626985146799 and 90626985146808.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7529028222 + ... + 7529040258.

It is an arithmetic number, because the mean of its divisors is an integer number (149046920022).

Almost surely, 2^{90626985146880} is an apocalyptic number.

90626985146880 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 90626985146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214627564831680).

90626985146880 is an abundant number, since it is smaller than the sum of its proper divisors (338628144516480).

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

90626985146880 is a wasteful number, since it uses less digits than its factorization.

90626985146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12121 (or 12086 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 90626985146880 in words is "ninety trillion, six hundred twenty-six billion, nine hundred eighty-five million, one hundred forty-six thousand, eight hundred eighty".