49359953260800 has 5184 divisors, whose sum is σ = 241045756084224. Its totient is φ = 9340688793600.

The previous prime is 49359953260789. The next prime is 49359953260861. The reversal of 49359953260800 is 806235995394.

49359953260800 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 99 + 532 + 6 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 295568582317 + ... + 295568582483.

It is an arithmetic number, because the mean of its divisors is an integer number (46498023936).

Almost surely, 2^{49359953260800} is an apocalyptic number.

49359953260800 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 49359953260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120522878042112).

49359953260800 is an abundant number, since it is smaller than the sum of its proper divisors (191685802823424).

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

49359953260800 is a wasteful number, since it uses less digits than its factorization.

49359953260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 49359953260800 in words is "forty-nine trillion, three hundred fifty-nine billion, nine hundred fifty-three million, two hundred sixty thousand, eight hundred".