51900635666880 has 6720 divisors, whose sum is σ = 278863459015680. Its totient is φ = 8860489482240.

The previous prime is 51900635666857. The next prime is 51900635666881. The reversal of 51900635666880 is 8866653600915.

It is a tau number, because it is divible by the number of its divisors (6720).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51900635666881) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 92185853479 + ... + 92185854041.

It is an arithmetic number, because the mean of its divisors is an integer number (41497538544).

Almost surely, 2^{51900635666880} 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 51900635666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139431729507840).

51900635666880 is an abundant number, since it is smaller than the sum of its proper divisors (226962823348800).

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

51900635666880 is a wasteful number, since it uses less digits than its factorization.

51900635666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 51900635666880 in words is "fifty-one trillion, nine hundred billion, six hundred thirty-five million, six hundred sixty-six thousand, eight hundred eighty".