51769387440 has 200 divisors, whose sum is σ = 185603561088. Its totient is φ = 13359790080.

The previous prime is 51769387433. The next prime is 51769387447. The reversal of 51769387440 is 4478396715.

51769387440 is a `hidden beast` number, since 51 + 76 + 9 + 3 + 87 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (51769387433) and next prime (51769387447).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (51769387447) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 72024 + ... + 329736.

Almost surely, 2^51769387440 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 51769387440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92801780544).

51769387440 is an abundant number, since it is smaller than the sum of its proper divisors (133834173648).

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

51769387440 is a wasteful number, since it uses less digits than its factorization.

51769387440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257769 (or 257754 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 51769387440 in words is "fifty-one billion, seven hundred sixty-nine million, three hundred eighty-seven thousand, four hundred forty".