51101030400 has 288 divisors, whose sum is σ = 193070142720. Its totient is φ = 11679989760.

The previous prime is 51101030399. The next prime is 51101030417. The reversal of 51101030400 is 403010115.

51101030400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51101030400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 51101030400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051437 + ... + 1098963.

It is an arithmetic number, because the mean of its divisors is an integer number (670382440).

Almost surely, 2^51101030400 is an apocalyptic number.

51101030400 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 51101030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96535071360).

51101030400 is an abundant number, since it is smaller than the sum of its proper divisors (141969112320).

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

51101030400 is a wasteful number, since it uses less digits than its factorization.

51101030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47569 (or 47544 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 51101030400 its reverse (403010115), we get a palindrome (51504040515).

The spelling of 51101030400 in words is "fifty-one billion, one hundred one million, thirty thousand, four hundred".