11072678400 has 960 divisors, whose sum is σ = 48711168000. Its totient is φ = 2408693760.

The previous prime is 11072678381. The next prime is 11072678429. The reversal of 11072678400 is 487627011.

11072678400 is a `hidden beast` number, since 110 + 72 + 6 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 55641501 + ... + 55641699.

It is an arithmetic number, because the mean of its divisors is an integer number (50740800).

Almost surely, 2^11072678400 is an apocalyptic number.

11072678400 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 11072678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584000).

11072678400 is an abundant number, since it is smaller than the sum of its proper divisors (37638489600).

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

11072678400 is a wasteful number, since it uses less digits than its factorization.

11072678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 11072678400 in words is "eleven billion, seventy-two million, six hundred seventy-eight thousand, four hundred".