1189138691520 has 1792 divisors, whose sum is σ = 4920730214400. Its totient is φ = 268021923840.

The previous prime is 1189138691513. The next prime is 1189138691539. The reversal of 1189138691520 is 251968319811.

It is a happy number.

1189138691520 is a `hidden beast` number, since 1 + 1 + 89 + 1 + 38 + 6 + 9 + 1 + 520 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 255 ways as a sum of consecutive naturals, for example, 10909529226 + ... + 10909529334.

It is an arithmetic number, because the mean of its divisors is an integer number (2745943200).

Almost surely, 2^{1189138691520} is an apocalyptic number.

1189138691520 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 1189138691520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460365107200).

1189138691520 is an abundant number, since it is smaller than the sum of its proper divisors (3731591522880).

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

1189138691520 is a wasteful number, since it uses less digits than its factorization.

1189138691520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 1189138691520 in words is "one trillion, one hundred eighty-nine billion, one hundred thirty-eight million, six hundred ninety-one thousand, five hundred twenty".