1253721546792 has 768 divisors, whose sum is σ = 4323360787200. Its totient is φ = 323382067200.

The previous prime is 1253721546713. The next prime is 1253721546799. The reversal of 1253721546792 is 2976451273521.

1253721546792 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 7 + 2 + 1 + 546 + 7 + 92 = 666.

Its product of digits (6350400) is a multiple of the sum of its prime factors (567).

It is not an unprimeable number, because it can be changed into a prime (1253721546799) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2895430608 + ... + 2895431040.

It is an arithmetic number, because the mean of its divisors is an integer number (5629376025).

Almost surely, 2^{1253721546792} is an apocalyptic number.

1253721546792 is a gapful number since it is divisible by the number (12) 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 1253721546792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161680393600).

1253721546792 is an abundant number, since it is smaller than the sum of its proper divisors (3069639240408).

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

1253721546792 is a wasteful number, since it uses less digits than its factorization.

1253721546792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 522 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 1253721546792 in words is "one trillion, two hundred fifty-three billion, seven hundred twenty-one million, five hundred forty-six thousand, seven hundred ninety-two".