11290420866816 has 2592 divisors, whose sum is σ = 44440968499200. Its totient is φ = 2853107712000.

The previous prime is 11290420866787. The next prime is 11290420866899. The reversal of 11290420866816 is 61866802409211.

11290420866816 is a `hidden beast` number, since 1 + 129 + 0 + 420 + 86 + 6 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 111786345166 + ... + 111786345266.

Almost surely, 2^{11290420866816} is an apocalyptic number.

11290420866816 is a gapful number since it is divisible by the number (16) 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 11290420866816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22220484249600).

11290420866816 is an abundant number, since it is smaller than the sum of its proper divisors (33150547632384).

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

11290420866816 is an equidigital number, since it uses as much as digits as its factorization.

11290420866816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 11290420866816 in words is "eleven trillion, two hundred ninety billion, four hundred twenty million, eight hundred sixty-six thousand, eight hundred sixteen".