895132457856 has 1728 divisors, whose sum is σ = 3547758614400. Its totient is φ = 214453370880.

The previous prime is 895132457839. The next prime is 895132457867. The reversal of 895132457856 is 658754231598.

895132457856 is a `hidden beast` number, since 8 + 9 + 5 + 1 + 3 + 2 + 4 + 578 + 56 = 666.

It is a super-2 number, since 2×895132457856² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (72576000) is a multiple of the sum of its prime factors (225).

It is a junction number, because it is equal to n+sod(n) for n = 895132457793 and 895132457802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8212224330 + ... + 8212224438.

It is an arithmetic number, because the mean of its divisors is an integer number (2053101050).

Almost surely, 2^895132457856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 895132457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773879307200).

895132457856 is an abundant number, since it is smaller than the sum of its proper divisors (2652626156544).

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

895132457856 is a wasteful number, since it uses less digits than its factorization.

895132457856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 184 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The spelling of 895132457856 in words is "eight hundred ninety-five billion, one hundred thirty-two million, four hundred fifty-seven thousand, eight hundred fifty-six".