51100144704 has 420 divisors, whose sum is σ = 181003405836. Its totient is φ = 14202832896.

The previous prime is 51100144679. The next prime is 51100144783. The reversal of 51100144704 is 40744100115.

51100144704 is a `hidden beast` number, since 511 + 0 + 0 + 144 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38240584704 + 12859560000 = 195552^2 + 113400^2 .

It is a super-2 number, since 2×51100144704² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9395874 + ... + 9401310.

Almost surely, 2^51100144704 is an apocalyptic number.

51100144704 is a gapful number since it is divisible by the number (54) 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 51100144704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90501702918).

51100144704 is an abundant number, since it is smaller than the sum of its proper divisors (129903261132).

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

51100144704 is a wasteful number, since it uses less digits than its factorization.

51100144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

Adding to 51100144704 its reverse (40744100115), we get a palindrome (91844244819).

The spelling of 51100144704 in words is "fifty-one billion, one hundred million, one hundred forty-four thousand, seven hundred four".