5895445248000 has 4608 divisors, whose sum is σ = 29363233536000. Its totient is φ = 1138655232000.

The previous prime is 5895445247987. The next prime is 5895445248001. The reversal of 5895445248000 is 8425445985.

5895445248000 is a `hidden beast` number, since 5 + 8 + 9 + 544 + 52 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 (5895445248001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 111234815974 + ... + 111234816026.

It is an arithmetic number, because the mean of its divisors is an integer number (6372229500).

Almost surely, 2^{5895445248000} is an apocalyptic number.

5895445248000 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 5895445248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14681616768000).

5895445248000 is an abundant number, since it is smaller than the sum of its proper divisors (23467788288000).

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

5895445248000 is a wasteful number, since it uses less digits than its factorization.

5895445248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 5895445248000 in words is "five trillion, eight hundred ninety-five billion, four hundred forty-five million, two hundred forty-eight thousand".