11262253078440 has 576 divisors, whose sum is σ = 46221039072000. Its totient is φ = 2376207235584.

The previous prime is 11262253078411. The next prime is 11262253078501. The reversal of 11262253078440 is 4487035226211.

11262253078440 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 2 + 2 + 530 + 78 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20598277 + ... + 21137963.

It is an arithmetic number, because the mean of its divisors is an integer number (80244859500).

Almost surely, 2^{11262253078440} is an apocalyptic number.

11262253078440 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 11262253078440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23110519536000).

11262253078440 is an abundant number, since it is smaller than the sum of its proper divisors (34958785993560).

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

11262253078440 is a wasteful number, since it uses less digits than its factorization.

11262253078440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539751 (or 539717 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 11262253078440 in words is "eleven trillion, two hundred sixty-two billion, two hundred fifty-three million, seventy-eight thousand, four hundred forty".