1180607418900 has 1152 divisors, whose sum is σ = 4821291417600. Its totient is φ = 241192857600.

The previous prime is 1180607418877. The next prime is 1180607418919. The reversal of 1180607418900 is 98147060811.

It is a happy number.

1180607418900 is a `hidden beast` number, since 11 + 80 + 60 + 7 + 418 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1642012741 + ... + 1642013459.

It is an arithmetic number, because the mean of its divisors is an integer number (4185148800).

Almost surely, 2^{1180607418900} is an apocalyptic number.

1180607418900 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 1180607418900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410645708800).

1180607418900 is an abundant number, since it is smaller than the sum of its proper divisors (3640683998700).

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

1180607418900 is a wasteful number, since it uses less digits than its factorization.

1180607418900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1180607418900 in words is "one trillion, one hundred eighty billion, six hundred seven million, four hundred eighteen thousand, nine hundred".