15948640391200 has 288 divisors, whose sum is σ = 42831246624768. Its totient is φ = 5750793216000.

The previous prime is 15948640391197. The next prime is 15948640391213. The reversal of 15948640391200 is 219304684951.

It is a super-3 number, since 3×15948640391200³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4109413260 + ... + 4109417140.

It is an arithmetic number, because the mean of its divisors is an integer number (148719606336).

Almost surely, 2^{15948640391200} is an apocalyptic number.

15948640391200 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 15948640391200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21415623312384).

15948640391200 is an abundant number, since it is smaller than the sum of its proper divisors (26882606233568).

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

15948640391200 is a wasteful number, since it uses less digits than its factorization.

15948640391200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7716 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 15948640391200 in words is "fifteen trillion, nine hundred forty-eight billion, six hundred forty million, three hundred ninety-one thousand, two hundred".