11282760000 has 560 divisors, whose sum is σ = 42912263680. Its totient is φ = 2903040000.

The previous prime is 11282759993. The next prime is 11282760053. The reversal of 11282760000 is 6728211.

11282760000 is a `hidden beast` number, since 11 + 28 + 27 + 600 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33479832 + ... + 33480168.

Almost surely, 2^11282760000 is an apocalyptic number.

11282760000 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 11282760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21456131840).

11282760000 is an abundant number, since it is smaller than the sum of its proper divisors (31629503680).

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

11282760000 is an equidigital number, since it uses as much as digits as its factorization.

11282760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 11282760000 in words is "eleven billion, two hundred eighty-two million, seven hundred sixty thousand".