90715726725120 has 1440 divisors, whose sum is σ = 373731279667200. Its totient is φ = 20678106415104.

The previous prime is 90715726725109. The next prime is 90715726725131. The reversal of 90715726725120 is 2152762751709.

90715726725120 is a `hidden beast` number, since 9 + 0 + 7 + 1 + 57 + 2 + 6 + 72 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90715726725109) and next prime (90715726725131).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70927072641 + ... + 70927073919.

It is an arithmetic number, because the mean of its divisors is an integer number (259535610880).

Almost surely, 2^{90715726725120} is an apocalyptic number.

90715726725120 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 90715726725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186865639833600).

90715726725120 is an abundant number, since it is smaller than the sum of its proper divisors (283015552942080).

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

90715726725120 is an equidigital number, since it uses as much as digits as its factorization.

90715726725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 90715726725120 in words is "ninety trillion, seven hundred fifteen billion, seven hundred twenty-six million, seven hundred twenty-five thousand, one hundred twenty".