15645127680 has 1188 divisors, whose sum is σ = 69949993932. Its totient is φ = 3220439040.

The previous prime is 15645127651. The next prime is 15645127739. The reversal of 15645127680 is 8672154651.

15645127680 is a `hidden beast` number, since 1 + 5 + 64 + 512 + 76 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7169347584 + 8475780096 = 84672^2 + 92064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 381588460 + ... + 381588500.

Almost surely, 2^15645127680 is an apocalyptic number.

15645127680 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 15645127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34974996966).

15645127680 is an abundant number, since it is smaller than the sum of its proper divisors (54304866252).

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

15645127680 is a wasteful number, since it uses less digits than its factorization.

15645127680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 15645127680 in words is "fifteen billion, six hundred forty-five million, one hundred twenty-seven thousand, six hundred eighty".