1082479759200 has 432 divisors, whose sum is σ = 4444713707616. Its totient is φ = 242754969600.

The previous prime is 1082479759199. The next prime is 1082479759219. The reversal of 1082479759200 is 29579742801.

1082479759200 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 47 + 9 + 7 + 592 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2468580 + ... + 2873820.

It is an arithmetic number, because the mean of its divisors is an integer number (10288689138).

Almost surely, 2^{1082479759200} is an apocalyptic number.

1082479759200 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 1082479759200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222356853808).

1082479759200 is an abundant number, since it is smaller than the sum of its proper divisors (3362233948416).

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

1082479759200 is a wasteful number, since it uses less digits than its factorization.

1082479759200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405327 (or 405311 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1082479759200 in words is "one trillion, eighty-two billion, four hundred seventy-nine million, seven hundred fifty-nine thousand, two hundred".