6857441142552 has 1920 divisors, whose sum is σ = 27529027891200. Its totient is φ = 1545918566400.

The previous prime is 6857441142547. The next prime is 6857441142553. The reversal of 6857441142552 is 2552411447586.

6857441142552 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 4 + 41 + 1 + 42 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6857441142553) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 9671989974 + ... + 9671990682.

It is an arithmetic number, because the mean of its divisors is an integer number (14338035360).

Almost surely, 2^{6857441142552} is an apocalyptic number.

6857441142552 is a gapful number since it is divisible by the number (62) 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 6857441142552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13764513945600).

6857441142552 is an abundant number, since it is smaller than the sum of its proper divisors (20671586748648).

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

6857441142552 is a wasteful number, since it uses less digits than its factorization.

6857441142552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 813 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 6857441142552 in words is "six trillion, eight hundred fifty-seven billion, four hundred forty-one million, one hundred forty-two thousand, five hundred fifty-two".