51901680 has 80 divisors (see below), whose sum is σ = 170373024. Its totient is φ = 13025280.

The previous prime is 51901679. The next prime is 51901687. The reversal of 51901680 is 8610915.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51901687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2281 + ... + 10440.

Almost surely, 2^51901680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85186512).

51901680 is an abundant number, since it is smaller than the sum of its proper divisors (118471344).

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

51901680 is a wasteful number, since it uses less digits than its factorization.

51901680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12754 (or 12748 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 51901680 is about 7204.2820599974. The cubic root of 51901680 is about 373.0157233535.

The spelling of 51901680 in words is "fifty-one million, nine hundred one thousand, six hundred eighty".