119257152768 has 864 divisors, whose sum is σ = 407982661632. Its totient is φ = 34488115200.

The previous prime is 119257152709. The next prime is 119257152793. The reversal of 119257152768 is 867251752911.

119257152768 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 57 + 1 + 527 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1679678173 + ... + 1679678243.

Almost surely, 2^119257152768 is an apocalyptic number.

119257152768 is a gapful number since it is divisible by the number (18) 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 119257152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203991330816).

119257152768 is an abundant number, since it is smaller than the sum of its proper divisors (288725508864).

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

119257152768 is an equidigital number, since it uses as much as digits as its factorization.

119257152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 187 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 54.

The spelling of 119257152768 in words is "one hundred nineteen billion, two hundred fifty-seven million, one hundred fifty-two thousand, seven hundred sixty-eight".