1457082180960 has 1152 divisors, whose sum is σ = 5750196480000. Its totient is φ = 308316782592.

The previous prime is 1457082180943. The next prime is 1457082180997. The reversal of 1457082180960 is 690812807541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5260224342 + ... + 5260224618.

It is an arithmetic number, because the mean of its divisors is an integer number (4991490000).

Almost surely, 2^{1457082180960} is an apocalyptic number.

1457082180960 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 1457082180960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2875098240000).

1457082180960 is an abundant number, since it is smaller than the sum of its proper divisors (4293114299040).

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

1457082180960 is a wasteful number, since it uses less digits than its factorization.

1457082180960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 1457082180960 in words is "one trillion, four hundred fifty-seven billion, eighty-two million, one hundred eighty thousand, nine hundred sixty".