11295221523840 has 2048 divisors, whose sum is σ = 46568245248000. Its totient is φ = 2568423997440.

The previous prime is 11295221523767. The next prime is 11295221523847. The reversal of 11295221523840 is 4832512259211.

It is a happy number.

11295221523840 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 52 + 215 + 2 + 384 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11295221523847) 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, 16783389744 + ... + 16783390416.

It is an arithmetic number, because the mean of its divisors is an integer number (22738401000).

Almost surely, 2^{11295221523840} is an apocalyptic number.

11295221523840 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 11295221523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23284122624000).

11295221523840 is an abundant number, since it is smaller than the sum of its proper divisors (35273023724160).

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

11295221523840 is a wasteful number, since it uses less digits than its factorization.

11295221523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 11295221523840 in words is "eleven trillion, two hundred ninety-five billion, two hundred twenty-one million, five hundred twenty-three thousand, eight hundred forty".