49867776000 has 672 divisors, whose sum is σ = 205727491008. Its totient is φ = 11383603200.

The previous prime is 49867775999. The next prime is 49867776001. The reversal of 49867776000 is 67776894.

It is an interprime number because it is at equal distance from previous prime (49867775999) and next prime (49867776001).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49867776001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64511614 + ... + 64512386.

Almost surely, 2^49867776000 is an apocalyptic number.

49867776000 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 49867776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102863745504).

49867776000 is an abundant number, since it is smaller than the sum of its proper divisors (155859715008).

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

49867776000 is an equidigital number, since it uses as much as digits as its factorization.

49867776000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 49867776000 in words is "forty-nine billion, eight hundred sixty-seven million, seven hundred seventy-six thousand".