49820097600 has 2688 divisors, whose sum is σ = 253983744000. Its totient is φ = 9196830720.

The previous prime is 49820097599. The next prime is 49820097611. The reversal of 49820097600 is 679002894.

It is a happy number.

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

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, 1717934386 + ... + 1717934414.

It is an arithmetic number, because the mean of its divisors is an integer number (94488000).

Almost surely, 2^49820097600 is an apocalyptic number.

49820097600 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 49820097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126991872000).

49820097600 is an abundant number, since it is smaller than the sum of its proper divisors (204163646400).

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

49820097600 is a wasteful number, since it uses less digits than its factorization.

49820097600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 49820097600 in words is "forty-nine billion, eight hundred twenty million, ninety-seven thousand, six hundred".