1253327846400 has 1584 divisors, whose sum is σ = 5372543754240. Its totient is φ = 273118003200.

The previous prime is 1253327846377. The next prime is 1253327846431. The reversal of 1253327846400 is 46487233521.

1253327846400 is a `hidden beast` number, since 1 + 2 + 533 + 2 + 78 + 4 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5939942295 + ... + 5939942505.

Almost surely, 2^{1253327846400} is an apocalyptic number.

1253327846400 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 1253327846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686271877120).

1253327846400 is an abundant number, since it is smaller than the sum of its proper divisors (4119215907840).

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

1253327846400 is a wasteful number, since it uses less digits than its factorization.

1253327846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1253327846400 in words is "one trillion, two hundred fifty-three billion, three hundred twenty-seven million, eight hundred forty-six thousand, four hundred".