1196257449600 has 864 divisors, whose sum is σ = 4570609024800. Its totient is φ = 297090478080.

The previous prime is 1196257449599. The next prime is 1196257449601. The reversal of 1196257449600 is 69447526911.

1196257449600 is a `hidden beast` number, since 1 + 1 + 9 + 6 + 2 + 574 + 4 + 9 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1196257449599) and next prime (1196257449601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1196257449601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2456380557 + ... + 2456381043.

Almost surely, 2^{1196257449600} is an apocalyptic number.

1196257449600 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 1196257449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285304512400).

1196257449600 is an abundant number, since it is smaller than the sum of its proper divisors (3374351575200).

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

1196257449600 is a wasteful number, since it uses less digits than its factorization.

1196257449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1196257449600 in words is "one trillion, one hundred ninety-six billion, two hundred fifty-seven million, four hundred forty-nine thousand, six hundred".