15801007921920 has 1728 divisors, whose sum is σ = 62476469887104. Its totient is φ = 3660259000320.

The previous prime is 15801007921847. The next prime is 15801007921949. The reversal of 15801007921920 is 2912970010851.

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 191 ways as a sum of consecutive naturals, for example, 35668189219 + ... + 35668189661.

It is an arithmetic number, because the mean of its divisors is an integer number (36155364518).

Almost surely, 2^{15801007921920} is an apocalyptic number.

15801007921920 is a gapful number since it is divisible by the number (10) 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 15801007921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31238234943552).

15801007921920 is an abundant number, since it is smaller than the sum of its proper divisors (46675461965184).

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

15801007921920 is a wasteful number, since it uses less digits than its factorization.

15801007921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The spelling of 15801007921920 in words is "fifteen trillion, eight hundred one billion, seven million, nine hundred twenty-one thousand, nine hundred twenty".