49485917520 has 480 divisors, whose sum is σ = 190569231360. Its totient is φ = 11785512960.

The previous prime is 49485917483. The next prime is 49485917527. The reversal of 49485917520 is 2571958494.

It is a happy number.

49485917520 is a `hidden beast` number, since 4 + 9 + 48 + 591 + 7 + 5 + 2 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49485917527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11314054 + ... + 11318426.

It is an arithmetic number, because the mean of its divisors is an integer number (397019232).

Almost surely, 2^49485917520 is an apocalyptic number.

49485917520 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 49485917520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95284615680).

49485917520 is an abundant number, since it is smaller than the sum of its proper divisors (141083313840).

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

49485917520 is a wasteful number, since it uses less digits than its factorization.

49485917520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4427 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 49485917520 in words is "forty-nine billion, four hundred eighty-five million, nine hundred seventeen thousand, five hundred twenty".