11822290035840 has 2048 divisors, whose sum is σ = 46675722240000. Its totient is φ = 2817240072192.

The previous prime is 11822290035827. The next prime is 11822290035841. The reversal of 11822290035840 is 4853009222811.

11822290035840 is a `hidden beast` number, since 1 + 1 + 8 + 2 + 2 + 290 + 0 + 358 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11822290035841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93088897857 + ... + 93088897983.

It is an arithmetic number, because the mean of its divisors is an integer number (22790880000).

Almost surely, 2^{11822290035840} is an apocalyptic number.

11822290035840 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 11822290035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23337861120000).

11822290035840 is an abundant number, since it is smaller than the sum of its proper divisors (34853432204160).

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

11822290035840 is a wasteful number, since it uses less digits than its factorization.

11822290035840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11822290035840 in words is "eleven trillion, eight hundred twenty-two billion, two hundred ninety million, thirty-five thousand, eight hundred forty".