15878478295680 has 4096 divisors, whose sum is σ = 75785229434880. Its totient is φ = 2717908992000.

The previous prime is 15878478295679. The next prime is 15878478295709. The reversal of 15878478295680 is 8659287487851.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 15878478295596 and 15878478295605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 61783962112 + ... + 61783962368.

It is an arithmetic number, because the mean of its divisors is an integer number (18502253280).

Almost surely, 2^{15878478295680} is an apocalyptic number.

15878478295680 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 15878478295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37892614717440).

15878478295680 is an abundant number, since it is smaller than the sum of its proper divisors (59906751139200).

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

15878478295680 is a wasteful number, since it uses less digits than its factorization.

15878478295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2167603200, while the sum is 78.

The spelling of 15878478295680 in words is "fifteen trillion, eight hundred seventy-eight billion, four hundred seventy-eight million, two hundred ninety-five thousand, six hundred eighty".