51761162544 has 480 divisors, whose sum is σ = 176973672960. Its totient is φ = 12895432704.

The previous prime is 51761162507. The next prime is 51761162591. The reversal of 51761162544 is 44526116715.

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

It is a junction number, because it is equal to n+sod(n) for n = 51761162496 and 51761162505.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62588659 + ... + 62589485.

It is an arithmetic number, because the mean of its divisors is an integer number (368695152).

Almost surely, 2^51761162544 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 51761162544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88486836480).

51761162544 is an abundant number, since it is smaller than the sum of its proper divisors (125212510416).

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

51761162544 is a wasteful number, since it uses less digits than its factorization.

51761162544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 964 counting only the distinct ones).

The product of its digits is 201600, while the sum is 42.

The spelling of 51761162544 in words is "fifty-one billion, seven hundred sixty-one million, one hundred sixty-two thousand, five hundred forty-four".