49550054400 has 2112 divisors, whose sum is σ = 243674880000. Its totient is φ = 9754214400.

The previous prime is 49550054387. The next prime is 49550054413. The reversal of 49550054400 is 445005594.

It is an interprime number because it is at equal distance from previous prime (49550054387) and next prime (49550054413).

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2607897591 + ... + 2607897609.

Almost surely, 2^49550054400 is an apocalyptic number.

49550054400 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 49550054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121837440000).

49550054400 is an abundant number, since it is smaller than the sum of its proper divisors (194124825600).

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

49550054400 is a wasteful number, since it uses less digits than its factorization.

49550054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 49550054400 its reverse (445005594), we get a palindrome (49995059994).

The spelling of 49550054400 in words is "forty-nine billion, five hundred fifty million, fifty-four thousand, four hundred".