5342182272000 has 3168 divisors, whose sum is σ = 25044391270080. Its totient is φ = 1085040230400.

The previous prime is 5342182271957. The next prime is 5342182272047. The reversal of 5342182272000 is 2722812435.

5342182272000 is a `hidden beast` number, since 5 + 3 + 421 + 8 + 2 + 27 + 200 + 0 = 666.

It is a super-2 number, since 2×5342182272000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18232703854 + ... + 18232704146.

Almost surely, 2^{5342182272000} is an apocalyptic number.

5342182272000 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 5342182272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12522195635040).

5342182272000 is an abundant number, since it is smaller than the sum of its proper divisors (19702208998080).

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

5342182272000 is a wasteful number, since it uses less digits than its factorization.

5342182272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 5342182272000 in words is "five trillion, three hundred forty-two billion, one hundred eighty-two million, two hundred seventy-two thousand".