51820849920 has 288 divisors, whose sum is σ = 195250728960. Its totient is φ = 11462492160.

The previous prime is 51820849891. The next prime is 51820849931. The reversal of 51820849920 is 2994802815.

It is a super-3 number, since 3×51820849920³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 51820849920.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 802186 + ... + 864374.

It is an arithmetic number, because the mean of its divisors is an integer number (677953920).

Almost surely, 2^51820849920 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 51820849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97625364480).

51820849920 is an abundant number, since it is smaller than the sum of its proper divisors (143429879040).

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

51820849920 is a wasteful number, since it uses less digits than its factorization.

51820849920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62251 (or 62237 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 51820849920 in words is "fifty-one billion, eight hundred twenty million, eight hundred forty-nine thousand, nine hundred twenty".