48949125120 has 448 divisors, whose sum is σ = 198923696640. Its totient is φ = 11186601984.

The previous prime is 48949125091. The next prime is 48949125133. The reversal of 48949125120 is 2152194984.

It is a happy number.

48949125120 is a `hidden beast` number, since 4 + 89 + 49 + 12 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7738279 + ... + 7744601.

Almost surely, 2^48949125120 is an apocalyptic number.

48949125120 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 48949125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99461848320).

48949125120 is an abundant number, since it is smaller than the sum of its proper divisors (149974571520).

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

48949125120 is an equidigital number, since it uses as much as digits as its factorization.

48949125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6370 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 48949125120 in words is "forty-eight billion, nine hundred forty-nine million, one hundred twenty-five thousand, one hundred twenty".