49900032000 has 1872 divisors, whose sum is σ = 238605402672. Its totient is φ = 9909043200.

The previous prime is 49900031989. The next prime is 49900032019. The reversal of 49900032000 is 23000994.

It can be written as a sum of positive squares in 8 ways, for example, as 18426433536 + 31473598464 = 135744^2 + 177408^2 .

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-3 number, since 3×49900032000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2935295992 + ... + 2935296008.

It is an arithmetic number, because the mean of its divisors is an integer number (127460151).

Almost surely, 2^49900032000 is an apocalyptic number.

49900032000 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 49900032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119302701336).

49900032000 is an abundant number, since it is smaller than the sum of its proper divisors (188705370672).

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

49900032000 is a wasteful number, since it uses less digits than its factorization.

49900032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 49900032000 its reverse (23000994), we get a palindrome (49923032994).

The spelling of 49900032000 in words is "forty-nine billion, nine hundred million, thirty-two thousand".