15546079628772 has 288 divisors, whose sum is σ = 46746101907456. Its totient is φ = 3934280021760.

The previous prime is 15546079628753. The next prime is 15546079628803. The reversal of 15546079628772 is 27782697064551.

It is a junction number, because it is equal to n+sod(n) for n = 15546079628697 and 15546079628706.

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 95 ways as a sum of consecutive naturals, for example, 106455918 + ... + 106601850.

Almost surely, 2^{15546079628772} is an apocalyptic number.

15546079628772 is a gapful number since it is divisible by the number (12) 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 15546079628772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373050953728).

15546079628772 is an abundant number, since it is smaller than the sum of its proper divisors (31200022278684).

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

15546079628772 is a wasteful number, since it uses less digits than its factorization.

15546079628772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146239 (or 146226 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 69.

The spelling of 15546079628772 in words is "fifteen trillion, five hundred forty-six billion, seventy-nine million, six hundred twenty-eight thousand, seven hundred seventy-two".