49477033267200 has 7488 divisors, whose sum is σ = 255542844211200. Its totient is φ = 9364045824000.

The previous prime is 49477033267187. The next prime is 49477033267313. The reversal of 49477033267200 is 276233077494.

49477033267200 is a `hidden beast` number, since 4 + 9 + 47 + 7 + 0 + 332 + 67 + 200 = 666.

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 575 ways as a sum of consecutive naturals, for example, 1596033331185 + ... + 1596033331215.

It is an arithmetic number, because the mean of its divisors is an integer number (34126982400).

Almost surely, 2^{49477033267200} is an apocalyptic number.

49477033267200 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 49477033267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127771422105600).

49477033267200 is an abundant number, since it is smaller than the sum of its proper divisors (206065810944000).

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

49477033267200 is a wasteful number, since it uses less digits than its factorization.

49477033267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 49477033267200 in words is "forty-nine trillion, four hundred seventy-seven billion, thirty-three million, two hundred sixty-seven thousand, two hundred".