15878358720 has 672 divisors, whose sum is σ = 66887847936. Its totient is φ = 3508531200.

The previous prime is 15878358709. The next prime is 15878358721. The reversal of 15878358720 is 2785387851.

15878358720 is a `hidden beast` number, since 1 + 58 + 7 + 8 + 3 + 587 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15878358721) 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, 16873450 + ... + 16874390.

It is an arithmetic number, because the mean of its divisors is an integer number (99535488).

Almost surely, 2^15878358720 is an apocalyptic number.

15878358720 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 15878358720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33443923968).

15878358720 is an abundant number, since it is smaller than the sum of its proper divisors (51009489216).

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

15878358720 is an equidigital number, since it uses as much as digits as its factorization.

15878358720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 15878358720 in words is "fifteen billion, eight hundred seventy-eight million, three hundred fifty-eight thousand, seven hundred twenty".