11351327040 has 672 divisors, whose sum is σ = 44414383104. Its totient is φ = 2747105280.

The previous prime is 11351327033. The next prime is 11351327081. The reversal of 11351327040 is 4072315311.

11351327040 is a `hidden beast` number, since 1 + 1 + 351 + 3 + 270 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11351326995 and 11351327013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40979382 + ... + 40979658.

It is an arithmetic number, because the mean of its divisors is an integer number (66092832).

Almost surely, 2^11351327040 is an apocalyptic number.

11351327040 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 11351327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22207191552).

11351327040 is an abundant number, since it is smaller than the sum of its proper divisors (33063056064).

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

11351327040 is a wasteful number, since it uses less digits than its factorization.

11351327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11351327040 in words is "eleven billion, three hundred fifty-one million, three hundred twenty-seven thousand, forty".