1253749708800 has 576 divisors, whose sum is σ = 4621387024800. Its totient is φ = 333162086400.

The previous prime is 1253749708789. The next prime is 1253749708843. The reversal of 1253749708800 is 88079473521.

It is a happy number.

1253749708800 is a `hidden beast` number, since 12 + 537 + 4 + 97 + 0 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 438219370 + ... + 438222230.

Almost surely, 2^{1253749708800} is an apocalyptic number.

1253749708800 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 1253749708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2310693512400).

1253749708800 is an abundant number, since it is smaller than the sum of its proper divisors (3367637316000).

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

1253749708800 is a wasteful number, since it uses less digits than its factorization.

1253749708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3219 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1253749708800 in words is "one trillion, two hundred fifty-three billion, seven hundred forty-nine million, seven hundred eight thousand, eight hundred".