1253718923520 has 864 divisors, whose sum is σ = 4890875351040. Its totient is φ = 272545136640.

The previous prime is 1253718923491. The next prime is 1253718923531. The reversal of 1253718923520 is 253298173521.

It is a super-2 number, since 2×1253718923520² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1253718923520.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 344142819 + ... + 344146461.

It is an arithmetic number, because the mean of its divisors is an integer number (5660735360).

Almost surely, 2^{1253718923520} is an apocalyptic number.

1253718923520 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 1253718923520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445437675520).

1253718923520 is an abundant number, since it is smaller than the sum of its proper divisors (3637156427520).

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

1253718923520 is a wasteful number, since it uses less digits than its factorization.

1253718923520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 1253718923520 in words is "one trillion, two hundred fifty-three billion, seven hundred eighteen million, nine hundred twenty-three thousand, five hundred twenty".