49327125120 has 1536 divisors, whose sum is σ = 229367808000. Its totient is φ = 9782083584.

The previous prime is 49327125109. The next prime is 49327125151. The reversal of 49327125120 is 2152172394.

49327125120 is a `hidden beast` number, since 49 + 32 + 71 + 2 + 512 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 388402497 + ... + 388402623.

It is an arithmetic number, because the mean of its divisors is an integer number (149328000).

Almost surely, 2^49327125120 is an apocalyptic number.

49327125120 is a gapful number since it is divisible by the number (40) 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 49327125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114683904000).

49327125120 is an abundant number, since it is smaller than the sum of its proper divisors (180040682880).

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

49327125120 is a wasteful number, since it uses less digits than its factorization.

49327125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 49327125120 in words is "forty-nine billion, three hundred twenty-seven million, one hundred twenty-five thousand, one hundred twenty".