49033848960 has 320 divisors, whose sum is σ = 175503240000. Its totient is φ = 13046261760.

The previous prime is 49033848959. The next prime is 49033848977. The reversal of 49033848960 is 6984833094.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 49033848897 and 49033848906.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32710291 + ... + 32711789.

It is an arithmetic number, because the mean of its divisors is an integer number (548447625).

Almost surely, 2^49033848960 is an apocalyptic number.

49033848960 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 49033848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87751620000).

49033848960 is an abundant number, since it is smaller than the sum of its proper divisors (126469391040).

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

49033848960 is a wasteful number, since it uses less digits than its factorization.

49033848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 49033848960 in words is "forty-nine billion, thirty-three million, eight hundred forty-eight thousand, nine hundred sixty".