921375090720 has 864 divisors, whose sum is σ = 3915599740416. Its totient is φ = 203793408000.

The previous prime is 921375090703. The next prime is 921375090731. The reversal of 921375090720 is 27090573129.

921375090720 is a `hidden beast` number, since 9 + 2 + 137 + 509 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59050920 + ... + 59066520.

It is an arithmetic number, because the mean of its divisors is an integer number (4531944144).

Almost surely, 2^921375090720 is an apocalyptic number.

921375090720 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 921375090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957799870208).

921375090720 is an abundant number, since it is smaller than the sum of its proper divisors (2994224649696).

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

921375090720 is a wasteful number, since it uses less digits than its factorization.

921375090720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15676 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 921375090720 in words is "nine hundred twenty-one billion, three hundred seventy-five million, ninety thousand, seven hundred twenty".