1300087545120 has 2880 divisors, whose sum is σ = 6180873785856. Its totient is φ = 254445649920.

The previous prime is 1300087545061. The next prime is 1300087545193. The reversal of 1300087545120 is 215457800031.

1300087545120 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 87 + 545 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×1300087545120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7784955277 + ... + 7784955443.

Almost surely, 2^{1300087545120} is an apocalyptic number.

1300087545120 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 1300087545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090436892928).

1300087545120 is an abundant number, since it is smaller than the sum of its proper divisors (4880786240736).

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

1300087545120 is a wasteful number, since it uses less digits than its factorization.

1300087545120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 1300087545120 in words is "one trillion, three hundred billion, eighty-seven million, five hundred forty-five thousand, one hundred twenty".