1257183456480 has 384 divisors, whose sum is σ = 5036179276800. Its totient is φ = 286930778112.

The previous prime is 1257183456469. The next prime is 1257183456497. The reversal of 1257183456480 is 846543817521.

It is a happy number.

1257183456480 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 183 + 456 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20623486 + ... + 20684354.

It is an arithmetic number, because the mean of its divisors is an integer number (13115050200).

Almost surely, 2^{1257183456480} is an apocalyptic number.

1257183456480 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 1257183456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518089638400).

1257183456480 is an abundant number, since it is smaller than the sum of its proper divisors (3778995820320).

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

1257183456480 is a wasteful number, since it uses less digits than its factorization.

1257183456480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61583 (or 61569 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 1257183456480 in words is "one trillion, two hundred fifty-seven billion, one hundred eighty-three million, four hundred fifty-six thousand, four hundred eighty".