1187718598080 has 672 divisors, whose sum is σ = 4747546073088. Its totient is φ = 266941440000.

The previous prime is 1187718598069. The next prime is 1187718598109. The reversal of 1187718598080 is 808958177811.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 1187718597999 and 1187718598017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 307458229 + ... + 307462091.

It is an arithmetic number, because the mean of its divisors is an integer number (7064800704).

Almost surely, 2^{1187718598080} is an apocalyptic number.

1187718598080 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 1187718598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373773036544).

1187718598080 is an abundant number, since it is smaller than the sum of its proper divisors (3559827475008).

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

1187718598080 is a wasteful number, since it uses less digits than its factorization.

1187718598080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 63.

The spelling of 1187718598080 in words is "one trillion, one hundred eighty-seven billion, seven hundred eighteen million, five hundred ninety-eight thousand, eighty".