10986278400 has 480 divisors, whose sum is σ = 40917381120. Its totient is φ = 2886819840.

The previous prime is 10986278399. The next prime is 10986278411. The reversal of 10986278400 is 487268901.

10986278400 is a `hidden beast` number, since 10 + 9 + 8 + 627 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28684609 + ... + 28684991.

It is an arithmetic number, because the mean of its divisors is an integer number (85244544).

Almost surely, 2^10986278400 is an apocalyptic number.

10986278400 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 10986278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20458690560).

10986278400 is an abundant number, since it is smaller than the sum of its proper divisors (29931102720).

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

10986278400 is an equidigital number, since it uses as much as digits as its factorization.

10986278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 10986278400 in words is "ten billion, nine hundred eighty-six million, two hundred seventy-eight thousand, four hundred".