49789676192400 has 945 divisors, whose sum is σ = 182859501743499. Its totient is φ = 13022208414720.

The previous prime is 49789676192393. The next prime is 49789676192413. The reversal of 49789676192400 is 429167698794.

The square root of 49789676192400 is 7056180.

It is a perfect power (a square), and thus also a powerful number.

49789676192400 is a `hidden beast` number, since 4 + 9 + 78 + 9 + 6 + 7 + 61 + 92 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 272446417296 + 49517229775104 = 521964^2 + 7036848^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 278154615511 + ... + 278154615689.

Almost surely, 2^{49789676192400} is an apocalyptic number.

49789676192400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49789676192400 is the 7056180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49789676192400

49789676192400 is an abundant number, since it is smaller than the sum of its proper divisors (133069825551099).

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

49789676192400 is an frugal number, since it uses more digits than its factorization.

49789676192400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 262 counting only the distinct ones).

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

The spelling of 49789676192400 in words is "forty-nine trillion, seven hundred eighty-nine billion, six hundred seventy-six million, one hundred ninety-two thousand, four hundred".