49739087923200 has 4608 divisors, whose sum is σ = 221297836032000. Its totient is φ = 10835538739200.

The previous prime is 49739087923139. The next prime is 49739087923229. The reversal of 49739087923200 is 232978093794.

49739087923200 is a `hidden beast` number, since 4 + 9 + 7 + 390 + 8 + 7 + 9 + 232 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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, 391646361537 + ... + 391646361663.

It is an arithmetic number, because the mean of its divisors is an integer number (48024704000).

Almost surely, 2^{49739087923200} is an apocalyptic number.

49739087923200 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 49739087923200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110648918016000).

49739087923200 is an abundant number, since it is smaller than the sum of its proper divisors (171558748108800).

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

49739087923200 is a wasteful number, since it uses less digits than its factorization.

49739087923200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 49739087923200 in words is "forty-nine trillion, seven hundred thirty-nine billion, eighty-seven million, nine hundred twenty-three thousand, two hundred".