5456794781100 has 1152 divisors, whose sum is σ = 19031165927424. Its totient is φ = 1194393600000.

The previous prime is 5456794781063. The next prime is 5456794781293. The reversal of 5456794781100 is 11874976545.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20135773965 + ... + 20135774235.

It is an arithmetic number, because the mean of its divisors is an integer number (16520109312).

Almost surely, 2^{5456794781100} is an apocalyptic number.

5456794781100 is a gapful number since it is divisible by the number (50) 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 5456794781100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515582963712).

5456794781100 is an abundant number, since it is smaller than the sum of its proper divisors (13574371146324).

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

5456794781100 is a wasteful number, since it uses less digits than its factorization.

5456794781100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 5456794781100 in words is "five trillion, four hundred fifty-six billion, seven hundred ninety-four million, seven hundred eighty-one thousand, one hundred".