6509153129472 has 704 divisors, whose sum is σ = 22870349537280. Its totient is φ = 1790196940800.

The previous prime is 6509153129429. The next prime is 6509153129489. The reversal of 6509153129472 is 2749213519056.

6509153129472 is a `hidden beast` number, since 6 + 5 + 0 + 9 + 153 + 12 + 9 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 554861847 + ... + 554873577.

Almost surely, 2^{6509153129472} 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 6509153129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11435174768640).

6509153129472 is an abundant number, since it is smaller than the sum of its proper divisors (16361196407808).

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

6509153129472 is a wasteful number, since it uses less digits than its factorization.

6509153129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 6509153129472 in words is "six trillion, five hundred nine billion, one hundred fifty-three million, one hundred twenty-nine thousand, four hundred seventy-two".