49721817600 has 2400 divisors, whose sum is σ = 247550155776. Its totient is φ = 9555148800.

The previous prime is 49721817599. The next prime is 49721817601. The reversal of 49721817600 is 671812794.

It is a happy number.

49721817600 is a `hidden beast` number, since 4 + 9 + 7 + 21 + 8 + 17 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (49721817599) and next prime (49721817601).

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49721817601) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1603929585 + ... + 1603929615.

Almost surely, 2^49721817600 is an apocalyptic number.

49721817600 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 49721817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123775077888).

49721817600 is an abundant number, since it is smaller than the sum of its proper divisors (197828338176).

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

49721817600 is a wasteful number, since it uses less digits than its factorization.

49721817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 49721817600 in words is "forty-nine billion, seven hundred twenty-one million, eight hundred seventeen thousand, six hundred".