51558480000 has 480 divisors, whose sum is σ = 187496466300. Its totient is φ = 13593600000.

The previous prime is 51558479957. The next prime is 51558480007. The reversal of 51558480000 is 8485515.

It can be written as a sum of positive squares in 10 ways, for example, as 1964971584 + 49593508416 = 44328^2 + 222696^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (51558480007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 72719646 + ... + 72720354.

Almost surely, 2^51558480000 is an apocalyptic number.

51558480000 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 51558480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93748233150).

51558480000 is an abundant number, since it is smaller than the sum of its proper divisors (135937986300).

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

51558480000 is a wasteful number, since it uses less digits than its factorization.

51558480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 51558480000 in words is "fifty-one billion, five hundred fifty-eight million, four hundred eighty thousand".