51949800 has 432 divisors, whose sum is σ = 220521600. Its totient is φ = 10886400.

The previous prime is 51949789. The next prime is 51949811. The reversal of 51949800 is 894915.

It is an interprime number because it is at equal distance from previous prime (51949789) and next prime (51949811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1675785 + ... + 1675815.

Almost surely, 2^51949800 is an apocalyptic number.

51949800 is a gapful number since it is divisible by the number (50) 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 51949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110260800).

51949800 is an abundant number, since it is smaller than the sum of its proper divisors (168571800).

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

51949800 is a wasteful number, since it uses less digits than its factorization.

51949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51949800 is about 7207.6209667268. The cubic root of 51949800 is about 373.1309667152.

The spelling of 51949800 in words is "fifty-one million, nine hundred forty-nine thousand, eight hundred".