48949555200 has 1248 divisors, whose sum is σ = 212952370176. Its totient is φ = 9625927680.

The previous prime is 48949555181. The next prime is 48949555211. The reversal of 48949555200 is 255594984.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 475238349 + ... + 475238451.

It is an arithmetic number, because the mean of its divisors is an integer number (170634912).

Almost surely, 2^48949555200 is an apocalyptic number.

48949555200 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 48949555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106476185088).

48949555200 is an abundant number, since it is smaller than the sum of its proper divisors (164002814976).

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

48949555200 is a wasteful number, since it uses less digits than its factorization.

48949555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 48949555200 in words is "forty-eight billion, nine hundred forty-nine million, five hundred fifty-five thousand, two hundred".