5456284610700 has 576 divisors, whose sum is σ = 20085970415616. Its totient is φ = 1110672000000.

The previous prime is 5456284610657. The next prime is 5456284610723. The reversal of 5456284610700 is 70164826545.

It is a self number, because there is not a number n which added to its sum of digits gives 5456284610700.

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, 353676387 + ... + 353691813.

It is an arithmetic number, because the mean of its divisors is an integer number (34871476416).

Almost surely, 2^{5456284610700} is an apocalyptic number.

5456284610700 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 5456284610700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10042985207808).

5456284610700 is an abundant number, since it is smaller than the sum of its proper divisors (14629685804916).

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

5456284610700 is a wasteful number, since it uses less digits than its factorization.

5456284610700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15774 (or 15767 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 5456284610700 in words is "five trillion, four hundred fifty-six billion, two hundred eighty-four million, six hundred ten thousand, seven hundred".