6857200386000 has 240 divisors, whose sum is σ = 23957482195920. Its totient is φ = 1828009036800.

The previous prime is 6857200385989. The next prime is 6857200386011. The reversal of 6857200386000 is 6830027586.

6857200386000 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 2 + 0 + 0 + 38 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6857200385989) and next prime (6857200386011).

It can be written as a sum of positive squares in 8 ways, for example, as 920356259904 + 5936844126096 = 959352^2 + 2436564^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×6857200386000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58495446 + ... + 58612554.

It is an arithmetic number, because the mean of its divisors is an integer number (99822842483).

Almost surely, 2^{6857200386000} is an apocalyptic number.

6857200386000 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 6857200386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11978741097960).

6857200386000 is an abundant number, since it is smaller than the sum of its proper divisors (17100281809920).

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

6857200386000 is a wasteful number, since it uses less digits than its factorization.

6857200386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120391 (or 120372 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6857200386000 in words is "six trillion, eight hundred fifty-seven billion, two hundred million, three hundred eighty-six thousand".