6132625551360 has 2080 divisors, whose sum is σ = 28100993969664. Its totient is φ = 1242169344000.

The previous prime is 6132625551343. The next prime is 6132625551361. The reversal of 6132625551360 is 631555262316.

6132625551360 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 62 + 5 + 551 + 36 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6132625551361) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5237083575 + ... + 5237084745.

Almost surely, 2^{6132625551360} is an apocalyptic number.

6132625551360 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 6132625551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050496984832).

6132625551360 is an abundant number, since it is smaller than the sum of its proper divisors (21968368418304).

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

6132625551360 is a wasteful number, since it uses less digits than its factorization.

6132625551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 6132625551360 in words is "six trillion, one hundred thirty-two billion, six hundred twenty-five million, five hundred fifty-one thousand, three hundred sixty".