1187016994800 has 2880 divisors, whose sum is σ = 5611408465920. Its totient is φ = 235818086400.

The previous prime is 1187016994799. The next prime is 1187016994841. The reversal of 1187016994800 is 84996107811.

1187016994800 is a `hidden beast` number, since 1 + 1 + 8 + 70 + 1 + 6 + 99 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 32081540382 + ... + 32081540418.

Almost surely, 2^{1187016994800} is an apocalyptic number.

1187016994800 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 1187016994800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805704232960).

1187016994800 is an abundant number, since it is smaller than the sum of its proper divisors (4424391471120).

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

1187016994800 is a wasteful number, since it uses less digits than its factorization.

1187016994800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 1187016994800 in words is "one trillion, one hundred eighty-seven billion, sixteen million, nine hundred ninety-four thousand, eight hundred".