51121319700 has 288 divisors, whose sum is σ = 165781389312. Its totient is φ = 12055680000.

The previous prime is 51121319671. The next prime is 51121319713. The reversal of 51121319700 is 791312115.

It is a super-2 number, since 2×51121319700² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44414125 + ... + 44415275.

It is an arithmetic number, because the mean of its divisors is an integer number (575629824).

Almost surely, 2^51121319700 is an apocalyptic number.

51121319700 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 51121319700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82890694656).

51121319700 is an abundant number, since it is smaller than the sum of its proper divisors (114660069612).

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

51121319700 is a wasteful number, since it uses less digits than its factorization.

51121319700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 51121319700 in words is "fifty-one billion, one hundred twenty-one million, three hundred nineteen thousand, seven hundred".