1253796522048 has 280 divisors, whose sum is σ = 4271084801984. Its totient is φ = 356246553600.

The previous prime is 1253796522037. The next prime is 1253796522071. The reversal of 1253796522048 is 8402256973521.

1253796522048 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 79 + 6 + 522 + 0 + 48 = 666.

It is a super-2 number, since 2×1253796522048² (a number of 25 digits) contains 22 as substring.

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 = 1253796521985 and 1253796522003.

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, 6472683 + ... + 6663573.

It is a 1-persistent number, because it is pandigital, but 2⋅1253796522048 = 2507593044096 is not.

Almost surely, 2^{1253796522048} is an apocalyptic number.

1253796522048 is a gapful number since it is divisible by the number (18) 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 1253796522048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135542400992).

1253796522048 is an abundant number, since it is smaller than the sum of its proper divisors (3017288279936).

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

1253796522048 is a wasteful number, since it uses less digits than its factorization.

1253796522048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191103 (or 191084 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 1253796522048 in words is "one trillion, two hundred fifty-three billion, seven hundred ninety-six million, five hundred twenty-two thousand, forty-eight".