15951253360 has 320 divisors, whose sum is σ = 45581082624. Its totient is φ = 5076172800.

The previous prime is 15951253349. The next prime is 15951253363. The reversal of 15951253360 is 6335215951.

It is a super-2 number, since 2×15951253360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15951253363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51958327 + ... + 51958633.

Almost surely, 2^15951253360 is an apocalyptic number.

15951253360 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 15951253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790541312).

15951253360 is an abundant number, since it is smaller than the sum of its proper divisors (29629829264).

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

15951253360 is a wasteful number, since it uses less digits than its factorization.

15951253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 40.

The spelling of 15951253360 in words is "fifteen billion, nine hundred fifty-one million, two hundred fifty-three thousand, three hundred sixty".