51255407616 has 176 divisors, whose sum is σ = 156376389120. Its totient is φ = 14621368320.

The previous prime is 51255407603. The next prime is 51255407617. The reversal of 51255407616 is 61670455215.

51255407616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51255407617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17438275 + ... + 17441213.

Almost surely, 2^51255407616 is an apocalyptic number.

51255407616 is a gapful number since it is divisible by the number (56) 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 51255407616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78188194560).

51255407616 is an abundant number, since it is smaller than the sum of its proper divisors (105120981504).

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

51255407616 is a wasteful number, since it uses less digits than its factorization.

51255407616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3762 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 51255407616 in words is "fifty-one billion, two hundred fifty-five million, four hundred seven thousand, six hundred sixteen".