15790121329920 has 864 divisors, whose sum is σ = 59122146779136. Its totient is φ = 3581061120000.

The previous prime is 15790121329907. The next prime is 15790121329921. The reversal of 15790121329920 is 2992312109751.

It is a super-2 number, since 2×15790121329920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15790121329921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17332734265 + ... + 17332735175.

It is an arithmetic number, because the mean of its divisors is an integer number (68428410624).

Almost surely, 2^{15790121329920} is an apocalyptic number.

15790121329920 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 15790121329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29561073389568).

15790121329920 is an abundant number, since it is smaller than the sum of its proper divisors (43332025449216).

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

15790121329920 is a wasteful number, since it uses less digits than its factorization.

15790121329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 51.

The spelling of 15790121329920 in words is "fifteen trillion, seven hundred ninety billion, one hundred twenty-one million, three hundred twenty-nine thousand, nine hundred twenty".