1253664264000 has 224 divisors, whose sum is σ = 4151909863296. Its totient is φ = 333316300800.

The previous prime is 1253664263987. The next prime is 1253664264049. The reversal of 1253664264000 is 4624663521.

It is a self number, because there is not a number n which added to its sum of digits gives 1253664264000.

It is a congruent number.

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, 8010499 + ... + 8165501.

Almost surely, 2^{1253664264000} is an apocalyptic number.

1253664264000 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 1253664264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075954931648).

1253664264000 is an abundant number, since it is smaller than the sum of its proper divisors (2898245599296).

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

1253664264000 is a wasteful number, since it uses less digits than its factorization.

1253664264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155370 (or 155350 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 1253664264000 in words is "one trillion, two hundred fifty-three billion, six hundred sixty-four million, two hundred sixty-four thousand".