49697985792 has 864 divisors, whose sum is σ = 178508897280. Its totient is φ = 12138577920.

The previous prime is 49697985769. The next prime is 49697985817. The reversal of 49697985792 is 29758979694.

It is a super-3 number, since 3×49697985792³ (a number of 33 digits) contains 333 as substring.

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, 439805128 + ... + 439805240.

It is an arithmetic number, because the mean of its divisors is an integer number (206607520).

Almost surely, 2^49697985792 is an apocalyptic number.

49697985792 is a gapful number since it is divisible by the number (42) 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 49697985792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89254448640).

49697985792 is an abundant number, since it is smaller than the sum of its proper divisors (128810911488).

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

49697985792 is a wasteful number, since it uses less digits than its factorization.

49697985792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 75.

The spelling of 49697985792 in words is "forty-nine billion, six hundred ninety-seven million, nine hundred eighty-five thousand, seven hundred ninety-two".