1253201958720 has 560 divisors, whose sum is σ = 4512734688000. Its totient is φ = 330100531200.

The previous prime is 1253201958689. The next prime is 1253201958737. The reversal of 1253201958720 is 278591023521.

1253201958720 is a `hidden beast` number, since 1 + 2 + 5 + 32 + 0 + 19 + 587 + 20 = 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 79 ways as a sum of consecutive naturals, for example, 778869276 + ... + 778870884.

It is an arithmetic number, because the mean of its divisors is an integer number (8058454800).

Almost surely, 2^{1253201958720} is an apocalyptic number.

1253201958720 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 1253201958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256367344000).

1253201958720 is an abundant number, since it is smaller than the sum of its proper divisors (3259532729280).

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

1253201958720 is a wasteful number, since it uses less digits than its factorization.

1253201958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1253201958720 in words is "one trillion, two hundred fifty-three billion, two hundred one million, nine hundred fifty-eight thousand, seven hundred twenty".