49976718249600 has 576 divisors, whose sum is σ = 190898815860480. Its totient is φ = 12897211392000.

The previous prime is 49976718249583. The next prime is 49976718249607. The reversal of 49976718249600 is 694281767994.

49976718249600 is a `hidden beast` number, since 4 + 9 + 9 + 7 + 6 + 7 + 1 + 8 + 2 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (49976718249607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23068980 + ... + 25142220.

Almost surely, 2^{49976718249600} is an apocalyptic number.

49976718249600 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 49976718249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95449407930240).

49976718249600 is an abundant number, since it is smaller than the sum of its proper divisors (140922097610880).

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

49976718249600 is a wasteful number, since it uses less digits than its factorization.

49976718249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073311 (or 2073282 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 49976718249600 in words is "forty-nine trillion, nine hundred seventy-six billion, seven hundred eighteen million, two hundred forty-nine thousand, six hundred".