51487220400 has 720 divisors, whose sum is σ = 218462946048. Its totient is φ = 10230528000.

The previous prime is 51487220381. The next prime is 51487220419. The reversal of 51487220400 is 402278415.

51487220400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51487220381) and next prime (51487220419).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14874670 + ... + 14878130.

Almost surely, 2^51487220400 is an apocalyptic number.

51487220400 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 51487220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109231473024).

51487220400 is an abundant number, since it is smaller than the sum of its proper divisors (166975725648).

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

51487220400 is a wasteful number, since it uses less digits than its factorization.

51487220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

Adding to 51487220400 its reverse (402278415), we get a palindrome (51889498815).

The spelling of 51487220400 in words is "fifty-one billion, four hundred eighty-seven million, two hundred twenty thousand, four hundred".