49725980196816 has 1920 divisors, whose sum is σ = 189592665292800. Its totient is φ = 11034536325120.

The previous prime is 49725980196803. The next prime is 49725980196853. The reversal of 49725980196816 is 61869108952794.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14098660045 + ... + 14098663571.

It is an arithmetic number, because the mean of its divisors is an integer number (98746179840).

Almost surely, 2^{49725980196816} is an apocalyptic number.

49725980196816 is a gapful number since it is divisible by the number (46) 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 49725980196816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94796332646400).

49725980196816 is an abundant number, since it is smaller than the sum of its proper divisors (139866685095984).

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

49725980196816 is a wasteful number, since it uses less digits than its factorization.

49725980196816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 75.

The spelling of 49725980196816 in words is "forty-nine trillion, seven hundred twenty-five billion, nine hundred eighty million, one hundred ninety-six thousand, eight hundred sixteen".