15943335040416 has 768 divisors, whose sum is σ = 53126746767360. Its totient is φ = 4083976765440.

The previous prime is 15943335040387. The next prime is 15943335040427. The reversal of 15943335040416 is 61404053334951.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7405170796 + ... + 7405172948.

It is an arithmetic number, because the mean of its divisors is an integer number (69175451520).

Almost surely, 2^{15943335040416} is an apocalyptic number.

15943335040416 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 15943335040416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26563373383680).

15943335040416 is an abundant number, since it is smaller than the sum of its proper divisors (37183411726944).

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

15943335040416 is a wasteful number, since it uses less digits than its factorization.

15943335040416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 15943335040416 in words is "fifteen trillion, nine hundred forty-three billion, three hundred thirty-five million, forty thousand, four hundred sixteen".