15658396416 has 360 divisors, whose sum is σ = 52041916080. Its totient is φ = 4649508864.

The previous prime is 15658396409. The next prime is 15658396423. The reversal of 15658396416 is 61469385651.

15658396416 is a `hidden beast` number, since 1 + 5 + 65 + 83 + 96 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (15658396409) and next prime (15658396423).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7816471 + ... + 7818473.

It is an arithmetic number, because the mean of its divisors is an integer number (144560878).

Almost surely, 2^15658396416 is an apocalyptic number.

15658396416 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 15658396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26020958040).

15658396416 is an abundant number, since it is smaller than the sum of its proper divisors (36383519664).

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

15658396416 is a wasteful number, since it uses less digits than its factorization.

15658396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2050 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 15658396416 in words is "fifteen billion, six hundred fifty-eight million, three hundred ninety-six thousand, four hundred sixteen".