1204137580968 has 256 divisors, whose sum is σ = 3848491008000. Its totient is φ = 341719057152.

The previous prime is 1204137580913. The next prime is 1204137580973. The reversal of 1204137580968 is 8690857314021.

1204137580968 is a `hidden beast` number, since 1 + 20 + 4 + 1 + 37 + 580 + 9 + 6 + 8 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 294192330 + ... + 294196422.

It is an arithmetic number, because the mean of its divisors is an integer number (15033168000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1204137580968 = 2408275161936, but 3⋅1204137580968 = 3612412742904 is not.

Almost surely, 2^{1204137580968} is an apocalyptic number.

1204137580968 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 1204137580968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924245504000).

1204137580968 is an abundant number, since it is smaller than the sum of its proper divisors (2644353427032).

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

1204137580968 is a wasteful number, since it uses less digits than its factorization.

1204137580968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 5371 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 1204137 and 580968, that added together give a triangular number (1785105 = T₁₈₈₉).

The spelling of 1204137580968 in words is "one trillion, two hundred four billion, one hundred thirty-seven million, five hundred eighty thousand, nine hundred sixty-eight".