1828407725760 has 224 divisors, whose sum is σ = 7237645420032. Its totient is φ = 379928862720.

The previous prime is 1828407725707. The next prime is 1828407725827. The reversal of 1828407725760 is 675277048281.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 1828407725760.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12293557 + ... + 12441396.

Almost surely, 2^{1828407725760} is an apocalyptic number.

1828407725760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1828407725760 is an abundant number, since it is smaller than the sum of its proper divisors (5409237694272).

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

1828407725760 is a wasteful number, since it uses less digits than its factorization.

1828407725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24734991 (or 24734981 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 57.

The spelling of 1828407725760 in words is "one trillion, eight hundred twenty-eight billion, four hundred seven million, seven hundred twenty-five thousand, seven hundred sixty".