6009292800000 has 2520 divisors, whose sum is σ = 26859029162112. Its totient is φ = 1313832960000.

The previous prime is 6009292799969. The next prime is 6009292800011. The reversal of 6009292800000 is 82929006.

6009292800000 is a `hidden beast` number, since 600 + 9 + 29 + 28 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×6009292800000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 261273599989 + ... + 261273600011.

Almost surely, 2^{6009292800000} is an apocalyptic number.

6009292800000 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 6009292800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13429514581056).

6009292800000 is an abundant number, since it is smaller than the sum of its proper divisors (20849736362112).

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

6009292800000 is an frugal number, since it uses more digits than its factorization.

6009292800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 6009292800000 in words is "six trillion, nine billion, two hundred ninety-two million, eight hundred thousand".