119257028352 has 1008 divisors, whose sum is σ = 457685023488. Its totient is φ = 30098718720.

The previous prime is 119257028291. The next prime is 119257028413. The reversal of 119257028352 is 253820752911.

119257028352 is a `hidden beast` number, since 1 + 1 + 9 + 2 + 570 + 28 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (119257028291) and next prime (119257028413).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×119257028352² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 119257028298 and 119257028307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 617911968 + ... + 617912160.

Almost surely, 2^119257028352 is an apocalyptic number.

119257028352 is a gapful number since it is divisible by the number (12) 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 119257028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228842511744).

119257028352 is an abundant number, since it is smaller than the sum of its proper divisors (338427995136).

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

119257028352 is an equidigital number, since it uses as much as digits as its factorization.

119257028352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 119257028352 in words is "one hundred nineteen billion, two hundred fifty-seven million, twenty-eight thousand, three hundred fifty-two".