90970246187520 has 1920 divisors, whose sum is σ = 365866440192000. Its totient is φ = 19221134671872.

The previous prime is 90970246187503. The next prime is 90970246187549. The reversal of 90970246187520 is 2578164207909.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

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 191 ways as a sum of consecutive naturals, for example, 92543484949 + ... + 92543485931.

It is an arithmetic number, because the mean of its divisors is an integer number (190555437600).

Almost surely, 2^{90970246187520} 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 90970246187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182933220096000).

90970246187520 is an abundant number, since it is smaller than the sum of its proper divisors (274896194004480).

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

90970246187520 is an equidigital number, since it uses as much as digits as its factorization.

90970246187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1062 counting only the distinct ones).

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

The spelling of 90970246187520 in words is "ninety trillion, nine hundred seventy billion, two hundred forty-six million, one hundred eighty-seven thousand, five hundred twenty".