5207435956800 has 3024 divisors, whose sum is σ = 24669837904320. Its totient is φ = 1077753600000.

The previous prime is 5207435956769. The next prime is 5207435956867. The reversal of 5207435956800 is 86595347025.

5207435956800 is a `hidden beast` number, since 5 + 2 + 0 + 7 + 43 + 595 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 20746756675 + ... + 20746756925.

It is an arithmetic number, because the mean of its divisors is an integer number (8158015180).

Almost surely, 2^{5207435956800} is an apocalyptic number.

5207435956800 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 5207435956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334918952160).

5207435956800 is an abundant number, since it is smaller than the sum of its proper divisors (19462401947520).

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

5207435956800 is a wasteful number, since it uses less digits than its factorization.

5207435956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 5207435956800 in words is "five trillion, two hundred seven billion, four hundred thirty-five million, nine hundred fifty-six thousand, eight hundred".