51103364263600 has 240 divisors, whose sum is σ = 143220074373216. Its totient is φ = 17316751360000.

The previous prime is 51103364263559. The next prime is 51103364263613. The reversal of 51103364263600 is 636246330115.

It is a super-2 number, since 2×51103364263600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4172622 + ... + 10936978.

Almost surely, 2^{51103364263600} is an apocalyptic number.

51103364263600 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 51103364263600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71610037186608).

51103364263600 is an abundant number, since it is smaller than the sum of its proper divisors (92116710109616).

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

51103364263600 is a wasteful number, since it uses less digits than its factorization.

51103364263600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764504 (or 6764493 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 40.

The spelling of 51103364263600 in words is "fifty-one trillion, one hundred three billion, three hundred sixty-four million, two hundred sixty-three thousand, six hundred".