11072955853440 has 1536 divisors, whose sum is σ = 45014885697600. Its totient is φ = 2482809864192.

The previous prime is 11072955853433. The next prime is 11072955853469. The reversal of 11072955853440 is 4435855927011.

11072955853440 is a `hidden beast` number, since 1 + 1 + 0 + 7 + 29 + 5 + 585 + 34 + 4 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 244170386496 + 10828785466944 = 494136^2 + 3290712^2 .

It is a super-2 number, since 2×11072955853440² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10974187656 + ... + 10974188664.

Almost surely, 2^{11072955853440} is an apocalyptic number.

11072955853440 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 11072955853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22507442848800).

11072955853440 is an abundant number, since it is smaller than the sum of its proper divisors (33941929844160).

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

11072955853440 is a wasteful number, since it uses less digits than its factorization.

11072955853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 11072955853440 in words is "eleven trillion, seventy-two billion, nine hundred fifty-five million, eight hundred fifty-three thousand, four hundred forty".