11278725120 has 520 divisors, whose sum is σ = 43624741776. Its totient is φ = 2770993152.

The previous prime is 11278725103. The next prime is 11278725131. The reversal of 11278725120 is 2152787211.

11278725120 is a `hidden beast` number, since 1 + 1 + 2 + 78 + 72 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565179 + ... + 21565701.

Almost surely, 2^11278725120 is an apocalyptic number.

11278725120 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 11278725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812370888).

11278725120 is an abundant number, since it is smaller than the sum of its proper divisors (32346016656).

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

11278725120 is an equidigital number, since it uses as much as digits as its factorization.

11278725120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The spelling of 11278725120 in words is "eleven billion, two hundred seventy-eight million, seven hundred twenty-five thousand, one hundred twenty".