1518485253120 has 880 divisors, whose sum is σ = 6248845785600. Its totient is φ = 348723118080.

The previous prime is 1518485253107. The next prime is 1518485253161. The reversal of 1518485253120 is 213525848151.

It is a happy number.

1518485253120 is a `hidden beast` number, since 1 + 5 + 1 + 8 + 48 + 52 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 86667721 + ... + 86685239.

It is an arithmetic number, because the mean of its divisors is an integer number (7100961120).

Almost surely, 2^{1518485253120} is an apocalyptic number.

1518485253120 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 1518485253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124422892800).

1518485253120 is an abundant number, since it is smaller than the sum of its proper divisors (4730360532480).

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

1518485253120 is a wasteful number, since it uses less digits than its factorization.

1518485253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17586 (or 17559 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 1518485253120 in words is "one trillion, five hundred eighteen billion, four hundred eighty-five million, two hundred fifty-three thousand, one hundred twenty".