5430794082120 has 864 divisors, whose sum is σ = 21235327364160. Its totient is φ = 1247166201600.

The previous prime is 5430794082107. The next prime is 5430794082211. The reversal of 5430794082120 is 212804970345.

5430794082120 is a `hidden beast` number, since 5 + 430 + 7 + 94 + 0 + 8 + 2 + 120 = 666.

It is a super-2 number, since 2×5430794082120² (a number of 26 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 424572925 + ... + 424585715.

It is an arithmetic number, because the mean of its divisors is an integer number (24577925190).

Almost surely, 2^{5430794082120} 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 5430794082120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617663682080).

5430794082120 is an abundant number, since it is smaller than the sum of its proper divisors (15804533282040).

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

5430794082120 is a wasteful number, since it uses less digits than its factorization.

5430794082120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5430794082120 in words is "five trillion, four hundred thirty billion, seven hundred ninety-four million, eighty-two thousand, one hundred twenty".