1253507360000 has 360 divisors, whose sum is σ = 3728748718464. Its totient is φ = 411079680000.

The previous prime is 1253507359921. The next prime is 1253507360047. The reversal of 1253507360000 is 637053521.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25735670 + ... + 25784330.

Almost surely, 2^{1253507360000} is an apocalyptic number.

1253507360000 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 1253507360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864374359232).

1253507360000 is an abundant number, since it is smaller than the sum of its proper divisors (2475241358464).

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

1253507360000 is an frugal number, since it uses more digits than its factorization.

1253507360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48727 (or 48698 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 32.

The spelling of 1253507360000 in words is "one trillion, two hundred fifty-three billion, five hundred seven million, three hundred sixty thousand".