49601956320 has 288 divisors, whose sum is σ = 203629870080. Its totient is φ = 10740833280.

The previous prime is 49601956309. The next prime is 49601956337. The reversal of 49601956320 is 2365910694.

49601956320 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 1 + 9 + 5 + 632 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62025 + ... + 321015.

It is an arithmetic number, because the mean of its divisors is an integer number (707048160).

Almost surely, 2^49601956320 is an apocalyptic number.

49601956320 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 49601956320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101814935040).

49601956320 is an abundant number, since it is smaller than the sum of its proper divisors (154027913760).

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

49601956320 is a wasteful number, since it uses less digits than its factorization.

49601956320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259038 (or 259027 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 49601956320 in words is "forty-nine billion, six hundred one million, nine hundred fifty-six thousand, three hundred twenty".