10893722400 has 1440 divisors, whose sum is σ = 49001863680. Its totient is φ = 2322432000.

The previous prime is 10893722387. The next prime is 10893722401. The reversal of 10893722400 is 422739801.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10893722401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 351410385 + ... + 351410415.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^10893722400 is an apocalyptic number.

10893722400 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 10893722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24500931840).

10893722400 is an abundant number, since it is smaller than the sum of its proper divisors (38108141280).

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

10893722400 is a wasteful number, since it uses less digits than its factorization.

10893722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10893722400 in words is "ten billion, eight hundred ninety-three million, seven hundred twenty-two thousand, four hundred".