49559081774400 has 672 divisors, whose sum is σ = 197161412290560. Its totient is φ = 12009662208000.

The previous prime is 49559081774399. The next prime is 49559081774401. The reversal of 49559081774400 is 447718095594.

49559081774400 is a `hidden beast` number, since 4 + 9 + 5 + 59 + 0 + 8 + 177 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (49559081774399) and next prime (49559081774401).

It is a super-2 number, since 2×49559081774400² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49559081774401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1314859555 + ... + 1314897245.

Almost surely, 2^{49559081774400} is an apocalyptic number.

49559081774400 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 49559081774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98580706145280).

49559081774400 is an abundant number, since it is smaller than the sum of its proper divisors (147602330516160).

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

49559081774400 is a wasteful number, since it uses less digits than its factorization.

49559081774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40500 (or 40479 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 49559081774400 in words is "forty-nine trillion, five hundred fifty-nine billion, eighty-one million, seven hundred seventy-four thousand, four hundred".