51667526240 has 96 divisors (see below), whose sum is σ = 133617115296. Its totient is φ = 18723880960.

The previous prime is 51667526213. The next prime is 51667526249. The reversal of 51667526240 is 4262576615.

It is a super-2 number, since 2×51667526240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 51667526191 and 51667526200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51667526249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 465584 + ... + 565776.

It is an arithmetic number, because the mean of its divisors is an integer number (1391844951).

Almost surely, 2^51667526240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51667526240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66808557648).

51667526240 is an abundant number, since it is smaller than the sum of its proper divisors (81949589056).

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

51667526240 is a wasteful number, since it uses less digits than its factorization.

51667526240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100512 (or 100504 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 51667526240 in words is "fifty-one billion, six hundred sixty-seven million, five hundred twenty-six thousand, two hundred forty".