15465580416 has 384 divisors, whose sum is σ = 52628940000. Its totient is φ = 4297605120.

The previous prime is 15465580411. The next prime is 15465580447. The reversal of 15465580416 is 61408556451.

15465580416 is a `hidden beast` number, since 1 + 5 + 4 + 65 + 580 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15465580411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44313810 + ... + 44314158.

Almost surely, 2^15465580416 is an apocalyptic number.

15465580416 is a gapful number since it is divisible by the number (16) 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 15465580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26314470000).

15465580416 is an abundant number, since it is smaller than the sum of its proper divisors (37163359584).

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

15465580416 is a wasteful number, since it uses less digits than its factorization.

15465580416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 15465580416 in words is "fifteen billion, four hundred sixty-five million, five hundred eighty thousand, four hundred sixteen".