6139889294400 has 315 divisors, whose sum is σ = 22571967978021. Its totient is φ = 1637065935360.

The previous prime is 6139889294389. The next prime is 6139889294423. The reversal of 6139889294400 is 44929889316.

The square root of 6139889294400 is 2477880.

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

6139889294400 is a `hidden beast` number, since 6 + 1 + 3 + 98 + 89 + 29 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2210360145984 + 3929529148416 = 1486728^2 + 1982304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 892033359 + ... + 892040241.

Almost surely, 2^{6139889294400} is an apocalyptic number.

6139889294400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6139889294400 is the 2477880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6139889294400

6139889294400 is an abundant number, since it is smaller than the sum of its proper divisors (16432078683621).

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

6139889294400 is an frugal number, since it uses more digits than its factorization.

6139889294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13800 (or 6893 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 6139889294400 in words is "six trillion, one hundred thirty-nine billion, eight hundred eighty-nine million, two hundred ninety-four thousand, four hundred".