1200582079840 has 768 divisors, whose sum is σ = 3540499393536. Its totient is φ = 378821836800.

The previous prime is 1200582079817. The next prime is 1200582079891. The reversal of 1200582079840 is 489702850021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3459890547 + ... + 3459890893.

It is an arithmetic number, because the mean of its divisors is an integer number (4610025252).

Almost surely, 2^{1200582079840} is an apocalyptic number.

1200582079840 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 1200582079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770249696768).

1200582079840 is an abundant number, since it is smaller than the sum of its proper divisors (2339917313696).

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

1200582079840 is a wasteful number, since it uses less digits than its factorization.

1200582079840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 46.

The spelling of 1200582079840 in words is "one trillion, two hundred billion, five hundred eighty-two million, seventy-nine thousand, eight hundred forty".