6543901509120 has 800 divisors, whose sum is σ = 23931690282720. Its totient is φ = 1715626967040.

The previous prime is 6543901509107. The next prime is 6543901509179. The reversal of 6543901509120 is 219051093456.

6543901509120 is a `hidden beast` number, since 6 + 5 + 4 + 390 + 150 + 91 + 20 = 666.

It is a super-2 number, since 2×6543901509120² (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 79 ways as a sum of consecutive naturals, for example, 3073696216 + ... + 3073698344.

Almost surely, 2^{6543901509120} is an apocalyptic number.

6543901509120 is a gapful number since it is divisible by the number (60) 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 6543901509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965845141360).

6543901509120 is an abundant number, since it is smaller than the sum of its proper divisors (17387788773600).

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

6543901509120 is an frugal number, since it uses more digits than its factorization.

6543901509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 6543901509120 in words is "six trillion, five hundred forty-three billion, nine hundred one million, five hundred nine thousand, one hundred twenty".