1516315020000 has 1440 divisors, whose sum is σ = 5861527410816. Its totient is φ = 340032000000.

The previous prime is 1516315019993. The next prime is 1516315020013. The reversal of 1516315020000 is 205136151.

It is a super-2 number, since 2×1516315020000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15013019950 + ... + 15013020050.

Almost surely, 2^{1516315020000} is an apocalyptic number.

1516315020000 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 1516315020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930763705408).

1516315020000 is an abundant number, since it is smaller than the sum of its proper divisors (4345212390816).

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

1516315020000 is a wasteful number, since it uses less digits than its factorization.

1516315020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 1516315020000 in words is "one trillion, five hundred sixteen billion, three hundred fifteen million, twenty thousand".