1188894504960 has 1152 divisors, whose sum is σ = 4570067174400. Its totient is φ = 284499640320.

The previous prime is 1188894504953. The next prime is 1188894504979. The reversal of 1188894504960 is 694054988811.

1188894504960 is a `hidden beast` number, since 1 + 1 + 8 + 8 + 8 + 94 + 50 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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, 6224578465 + ... + 6224578655.

It is an arithmetic number, because the mean of its divisors is an integer number (3967072200).

Almost surely, 2^{1188894504960} is an apocalyptic number.

1188894504960 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 1188894504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285033587200).

1188894504960 is an abundant number, since it is smaller than the sum of its proper divisors (3381172669440).

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

1188894504960 is a wasteful number, since it uses less digits than its factorization.

1188894504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 1188894504960 in words is "one trillion, one hundred eighty-eight billion, eight hundred ninety-four million, five hundred four thousand, nine hundred sixty".