15928270396416 has 1760 divisors, whose sum is σ = 59286360320000. Its totient is φ = 4245424275456.

The previous prime is 15928270396369. The next prime is 15928270396529. The reversal of 15928270396416 is 61469307282951.

15928270396416 is a `hidden beast` number, since 1 + 5 + 92 + 82 + 70 + 396 + 4 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 42703137606 + ... + 42703137978.

It is an arithmetic number, because the mean of its divisors is an integer number (33685432000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅15928270396416 = 31856540792832, but 3⋅15928270396416 = 47784811189248 is not.

Almost surely, 2^{15928270396416} is an apocalyptic number.

15928270396416 is a gapful number since it is divisible by the number (16) 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 15928270396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29643180160000).

15928270396416 is an abundant number, since it is smaller than the sum of its proper divisors (43358089923584).

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

15928270396416 is an equidigital number, since it uses as much as digits as its factorization.

15928270396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 15928270396416 in words is "fifteen trillion, nine hundred twenty-eight billion, two hundred seventy million, three hundred ninety-six thousand, four hundred sixteen".