1187907875280 has 960 divisors, whose sum is σ = 5245721395200. Its totient is φ = 234280304640.

The previous prime is 1187907875279. The next prime is 1187907875291. The reversal of 1187907875280 is 825787097811.

1187907875280 is a `hidden beast` number, since 1 + 18 + 7 + 90 + 7 + 8 + 7 + 528 + 0 = 666.

It is a super-2 number, since 2×1187907875280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50453751 + ... + 50477289.

It is an arithmetic number, because the mean of its divisors is an integer number (5464293120).

Almost surely, 2^{1187907875280} is an apocalyptic number.

1187907875280 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 1187907875280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622860697600).

1187907875280 is an abundant number, since it is smaller than the sum of its proper divisors (4057813519920).

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

1187907875280 is a wasteful number, since it uses less digits than its factorization.

1187907875280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23632 (or 23623 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 63.

The spelling of 1187907875280 in words is "one trillion, one hundred eighty-seven billion, nine hundred seven million, eight hundred seventy-five thousand, two hundred eighty".