315285754080000 has 720 divisors, whose sum is σ = 1149313576828032. Its totient is φ = 76070400000000.

The previous prime is 315285754079993. The next prime is 315285754080013. The reversal of 315285754080000 is 80457582513.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1113938500 + ... + 1114221500.

Almost surely, 2^{315285754080000} is an apocalyptic number.

315285754080000 is a gapful number since it is divisible by the number (30) 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 315285754080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574656788414016).

315285754080000 is an abundant number, since it is smaller than the sum of its proper divisors (834027822748032).

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

315285754080000 is a wasteful number, since it uses less digits than its factorization.

315285754080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283262 (or 283233 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 315285754080000 in words is "three hundred fifteen trillion, two hundred eighty-five billion, seven hundred fifty-four million, eighty thousand".