51205414154850 has 72 divisors (see below), whose sum is σ = 142667134187760. Its totient is φ = 13654777104720.

The previous prime is 51205414154827. The next prime is 51205414154897. The reversal of 51205414154850 is 5845141450215.

It is a happy number.

51205414154850 is a `hidden beast` number, since 5 + 1 + 2 + 0 + 5 + 414 + 154 + 85 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 51205414154796 and 51205414154805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2107206540 + ... + 2107230839.

It is an arithmetic number, because the mean of its divisors is an integer number (1981487974830).

Almost surely, 2^{51205414154850} is an apocalyptic number.

51205414154850 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

51205414154850 is an abundant number, since it is smaller than the sum of its proper divisors (91461720032910).

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

51205414154850 is a wasteful number, since it uses less digits than its factorization.

51205414154850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214437406 (or 4214437389 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 45.

The spelling of 51205414154850 in words is "fifty-one trillion, two hundred five billion, four hundred fourteen million, one hundred fifty-four thousand, eight hundred fifty".