11107263277152 has 768 divisors, whose sum is σ = 39023902310400. Its totient is φ = 3006885888000.

The previous prime is 11107263277151. The next prime is 11107263277163. The reversal of 11107263277152 is 25177236270111.

11107263277152 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 7 + 2 + 632 + 7 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×11107263277152² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11107263277098 and 11107263277107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11107263277151) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2619017752 + ... + 2619021992.

It is an arithmetic number, because the mean of its divisors is an integer number (50812372800).

Almost surely, 2^{11107263277152} is an apocalyptic number.

11107263277152 is a gapful number since it is divisible by the number (12) 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 11107263277152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19511951155200).

11107263277152 is an abundant number, since it is smaller than the sum of its proper divisors (27916639033248).

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

11107263277152 is a wasteful number, since it uses less digits than its factorization.

11107263277152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4588 (or 4574 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 11107263277152 in words is "eleven trillion, one hundred seven billion, two hundred sixty-three million, two hundred seventy-seven thousand, one hundred fifty-two".