15958978560 has 1248 divisors, whose sum is σ = 71713843200. Its totient is φ = 3344302080.

The previous prime is 15958978547. The next prime is 15958978561. The reversal of 15958978560 is 6587985951.

15958978560 is a `hidden beast` number, since 15 + 9 + 58 + 9 + 7 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15958978561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 514805745 + ... + 514805775.

Almost surely, 2^15958978560 is an apocalyptic number.

15958978560 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 15958978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35856921600).

15958978560 is an abundant number, since it is smaller than the sum of its proper divisors (55754864640).

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

15958978560 is a wasteful number, since it uses less digits than its factorization.

15958978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 27216000, while the sum is 63.

The spelling of 15958978560 in words is "fifteen billion, nine hundred fifty-eight million, nine hundred seventy-eight thousand, five hundred sixty".