15978547200 has 864 divisors, whose sum is σ = 67380374880. Its totient is φ = 3303014400.

The previous prime is 15978547153. The next prime is 15978547253. The reversal of 15978547200 is 274587951.

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

It is a self number, because there is not a number n which added to its sum of digits gives 15978547200.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82790304 + ... + 82790496.

It is an arithmetic number, because the mean of its divisors is an integer number (77986545).

Almost surely, 2^15978547200 is an apocalyptic number.

15978547200 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 15978547200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33690187440).

15978547200 is an abundant number, since it is smaller than the sum of its proper divisors (51401827680).

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

15978547200 is a wasteful number, since it uses less digits than its factorization.

15978547200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 15978547200 in words is "fifteen billion, nine hundred seventy-eight million, five hundred forty-seven thousand, two hundred".