11278204560 has 960 divisors, whose sum is σ = 48731880960. Its totient is φ = 2384363520.

The previous prime is 11278204523. The next prime is 11278204571. The reversal of 11278204560 is 6540287211.

11278204560 is a `hidden beast` number, since 1 + 1 + 2 + 78 + 20 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99807064 + ... + 99807176.

It is an arithmetic number, because the mean of its divisors is an integer number (50762376).

Almost surely, 2^11278204560 is an apocalyptic number.

11278204560 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 11278204560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24365940480).

11278204560 is an abundant number, since it is smaller than the sum of its proper divisors (37453676400).

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

11278204560 is a wasteful number, since it uses less digits than its factorization.

11278204560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11278204560 in words is "eleven billion, two hundred seventy-eight million, two hundred four thousand, five hundred sixty".