315827263488 has 384 divisors, whose sum is σ = 970849152000. Its totient is φ = 90297630720.

The previous prime is 315827263487. The next prime is 315827263513. The reversal of 315827263488 is 884362728513.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×315827263488³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315827263481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538035931 + ... + 538036517.

It is an arithmetic number, because the mean of its divisors is an integer number (2528253000).

Almost surely, 2^315827263488 is an apocalyptic number.

315827263488 is a gapful number since it is divisible by the number (38) 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 315827263488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485424576000).

315827263488 is an abundant number, since it is smaller than the sum of its proper divisors (655021888512).

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

315827263488 is a wasteful number, since it uses less digits than its factorization.

315827263488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1041 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 57.

The spelling of 315827263488 in words is "three hundred fifteen billion, eight hundred twenty-seven million, two hundred sixty-three thousand, four hundred eighty-eight".