49277220652800 has 2160 divisors, whose sum is σ = 226447064585280. Its totient is φ = 10313827614720.

The previous prime is 49277220652799. The next prime is 49277220652813. The reversal of 49277220652800 is 825602277294.

49277220652800 is a `hidden beast` number, since 4 + 9 + 27 + 72 + 20 + 6 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2282504406 + ... + 2282525994.

Almost surely, 2^{49277220652800} is an apocalyptic number.

49277220652800 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 49277220652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113223532292640).

49277220652800 is an abundant number, since it is smaller than the sum of its proper divisors (177169843932480).

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

49277220652800 is a wasteful number, since it uses less digits than its factorization.

49277220652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21688 (or 21660 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 49277220652800 in words is "forty-nine trillion, two hundred seventy-seven billion, two hundred twenty million, six hundred fifty-two thousand, eight hundred".