11224796242590 has 704 divisors, whose sum is σ = 37247256483840. Its totient is φ = 2378134702080.

The previous prime is 11224796242549. The next prime is 11224796242619. The reversal of 11224796242590 is 9524269742211.

11224796242590 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 4 + 7 + 9 + 6 + 2 + 42 + 590 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 3691151470 + ... + 3691154510.

Almost surely, 2^{11224796242590} is an apocalyptic number.

11224796242590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11224796242590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623628241920).

11224796242590 is an abundant number, since it is smaller than the sum of its proper divisors (26022460241250).

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

11224796242590 is an equidigital number, since it uses as much as digits as its factorization.

11224796242590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11224796242590 in words is "eleven trillion, two hundred twenty-four billion, seven hundred ninety-six million, two hundred forty-two thousand, five hundred ninety".