5138948322000 has 480 divisors, whose sum is σ = 18345465815040. Its totient is φ = 1340135884800.

The previous prime is 5138948321963. The next prime is 5138948322017. The reversal of 5138948322000 is 2238498315.

5138948322000 is a `hidden beast` number, since 5 + 1 + 389 + 48 + 3 + 220 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1894192644 + ... + 1894195356.

It is an arithmetic number, because the mean of its divisors is an integer number (38219720448).

Almost surely, 2^{5138948322000} is an apocalyptic number.

5138948322000 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 5138948322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9172732907520).

5138948322000 is an abundant number, since it is smaller than the sum of its proper divisors (13206517493040).

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

5138948322000 is a wasteful number, since it uses less digits than its factorization.

5138948322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 5138948322000 in words is "five trillion, one hundred thirty-eight billion, nine hundred forty-eight million, three hundred twenty-two thousand".