6053123959200 has 432 divisors, whose sum is σ = 22044307574016. Its totient is φ = 1561321267200.

The previous prime is 6053123959189. The next prime is 6053123959249. The reversal of 6053123959200 is 29593213506.

6053123959200 is a `hidden beast` number, since 6 + 0 + 5 + 31 + 23 + 9 + 592 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 550628904 + ... + 550639896.

Almost surely, 2^{6053123959200} is an apocalyptic number.

6053123959200 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 6053123959200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022153787008).

6053123959200 is an abundant number, since it is smaller than the sum of its proper divisors (15991183614816).

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

6053123959200 is a wasteful number, since it uses less digits than its factorization.

6053123959200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13517 (or 13501 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 6053123959200 in words is "six trillion, fifty-three billion, one hundred twenty-three million, nine hundred fifty-nine thousand, two hundred".