1253406389760 has 1200 divisors, whose sum is σ = 5252776166880. Its totient is φ = 284823060480.

The previous prime is 1253406389699. The next prime is 1253406389777. The reversal of 1253406389760 is 679836043521.

1253406389760 is a `hidden beast` number, since 1 + 2 + 534 + 0 + 6 + 38 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1253406389697 and 1253406389706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2855139621 + ... + 2855140059.

It is a 1-persistent number, because it is pandigital, but 2⋅1253406389760 = 2506812779520 is not.

Almost surely, 2^{1253406389760} is an apocalyptic number.

1253406389760 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 1253406389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626388083440).

1253406389760 is an abundant number, since it is smaller than the sum of its proper divisors (3999369777120).

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

1253406389760 is an equidigital number, since it uses as much as digits as its factorization.

1253406389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1253406389760 in words is "one trillion, two hundred fifty-three billion, four hundred six million, three hundred eighty-nine thousand, seven hundred sixty".