6557898758400 has 864 divisors, whose sum is σ = 26450982445440. Its totient is φ = 1589737881600.

The previous prime is 6557898758339. The next prime is 6557898758417. The reversal of 6557898758400 is 48578987556.

6557898758400 is a `hidden beast` number, since 6 + 5 + 578 + 9 + 8 + 7 + 5 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×6557898758400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229982544 + ... + 230011056.

Almost surely, 2^{6557898758400} is an apocalyptic number.

6557898758400 is a gapful number since it is divisible by the number (60) 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 6557898758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225491222720).

6557898758400 is an abundant number, since it is smaller than the sum of its proper divisors (19893083687040).

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

6557898758400 is a wasteful number, since it uses less digits than its factorization.

6557898758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28581 (or 28534 counting only the distinct ones).

The product of its (nonzero) digits is 677376000, while the sum is 72.

The spelling of 6557898758400 in words is "six trillion, five hundred fifty-seven billion, eight hundred ninety-eight million, seven hundred fifty-eight thousand, four hundred".