49888293120 has 288 divisors, whose sum is σ = 177543475200. Its totient is φ = 13265289216.

The previous prime is 49888293107. The next prime is 49888293127. The reversal of 49888293120 is 2139288894.

49888293120 is a `hidden beast` number, since 498 + 8 + 8 + 29 + 3 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (49888293127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13234596 + ... + 13238364.

It is an arithmetic number, because the mean of its divisors is an integer number (616470400).

Almost surely, 2^49888293120 is an apocalyptic number.

49888293120 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 49888293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88771737600).

49888293120 is an abundant number, since it is smaller than the sum of its proper divisors (127655182080).

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

49888293120 is a wasteful number, since it uses less digits than its factorization.

49888293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4162 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 49888293120 in words is "forty-nine billion, eight hundred eighty-eight million, two hundred ninety-three thousand, one hundred twenty".