1170125880 has 384 divisors, whose sum is σ = 4530816000. Its totient is φ = 239016960.

The previous prime is 1170125857. The next prime is 1170125881. The reversal of 1170125880 is 885210711.

1170125880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1170125881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5109606 + ... + 5109834.

It is an arithmetic number, because the mean of its divisors is an integer number (11799000).

Almost surely, 2^1170125880 is an apocalyptic number.

1170125880 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 1170125880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265408000).

1170125880 is an abundant number, since it is smaller than the sum of its proper divisors (3360690120).

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

1170125880 is a wasteful number, since it uses less digits than its factorization.

1170125880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 33.

The square root of 1170125880 is about 34207.1027712082. The cubic root of 1170125880 is about 1053.7660317916.

The spelling of 1170125880 in words is "one billion, one hundred seventy million, one hundred twenty-five thousand, eight hundred eighty".