5456953687200 has 864 divisors, whose sum is σ = 19809779592960. Its totient is φ = 1302458572800.

The previous prime is 5456953687183. The next prime is 5456953687217. The reversal of 5456953687200 is 27863596545.

It is an interprime number because it is at equal distance from previous prime (5456953687183) and next prime (5456953687217).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1180900890 + ... + 1180905510.

It is an arithmetic number, because the mean of its divisors is an integer number (22927985640).

Almost surely, 2^{5456953687200} is an apocalyptic number.

5456953687200 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 5456953687200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9904889796480).

5456953687200 is an abundant number, since it is smaller than the sum of its proper divisors (14352825905760).

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

5456953687200 is a wasteful number, since it uses less digits than its factorization.

5456953687200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4758 (or 4726 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 60.

The spelling of 5456953687200 in words is "five trillion, four hundred fifty-six billion, nine hundred fifty-three million, six hundred eighty-seven thousand, two hundred".