1268252536320 has 2880 divisors, whose sum is σ = 5990601576960. Its totient is φ = 251380039680.

The previous prime is 1268252536303. The next prime is 1268252536351. The reversal of 1268252536320 is 236352528621.

1268252536320 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 2 + 5 + 2 + 5 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×1268252536320² (a number of 25 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 15280150999 + ... + 15280151081.

It is an arithmetic number, because the mean of its divisors is an integer number (2080069992).

Almost surely, 2^{1268252536320} is an apocalyptic number.

1268252536320 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 1268252536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995300788480).

1268252536320 is an abundant number, since it is smaller than the sum of its proper divisors (4722349040640).

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

1268252536320 is an equidigital number, since it uses as much as digits as its factorization.

1268252536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1268252536320 in words is "one trillion, two hundred sixty-eight billion, two hundred fifty-two million, five hundred thirty-six thousand, three hundred twenty".