51955438080 has 640 divisors, whose sum is σ = 216499143168. Its totient is φ = 10314842112.

The previous prime is 51955438057. The next prime is 51955438103. The reversal of 51955438080 is 8083455915.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (51955438057) and next prime (51955438103).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11878774 + ... + 11883146.

Almost surely, 2^51955438080 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 51955438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108249571584).

51955438080 is an abundant number, since it is smaller than the sum of its proper divisors (164543705088).

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

51955438080 is a wasteful number, since it uses less digits than its factorization.

51955438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4436 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 51955438080 in words is "fifty-one billion, nine hundred fifty-five million, four hundred thirty-eight thousand, eighty".