51123585024 has 304 divisors, whose sum is σ = 157034442240. Its totient is φ = 16420700160.

The previous prime is 51123585017. The next prime is 51123585067. The reversal of 51123585024 is 42058532115.

51123585024 is a `hidden beast` number, since 5 + 112 + 35 + 8 + 502 + 4 = 666.

It is a super-2 number, since 2×51123585024² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51123585024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219414412 + ... + 219414644.

Almost surely, 2^51123585024 is an apocalyptic number.

51123585024 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 51123585024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78517221120).

51123585024 is an abundant number, since it is smaller than the sum of its proper divisors (105910857216).

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

51123585024 is an frugal number, since it uses more digits than its factorization.

51123585024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 51123585024 in words is "fifty-one billion, one hundred twenty-three million, five hundred eighty-five thousand, twenty-four".