51720995200 has 384 divisors, whose sum is σ = 151873136640. Its totient is φ = 17031168000.

The previous prime is 51720995189. The next prime is 51720995203. The reversal of 51720995200 is 259902715.

It is a super-2 number, since 2×51720995200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51720995203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146518224 + ... + 146518576.

It is an arithmetic number, because the mean of its divisors is an integer number (395502960).

Almost surely, 2^51720995200 is an apocalyptic number.

51720995200 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 51720995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75936568320).

51720995200 is an abundant number, since it is smaller than the sum of its proper divisors (100152141440).

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

51720995200 is a wasteful number, since it uses less digits than its factorization.

51720995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 40.

The spelling of 51720995200 in words is "fifty-one billion, seven hundred twenty million, nine hundred ninety-five thousand, two hundred".