51477558642048 has 2048 divisors, whose sum is σ = 186036092928000. Its totient is φ = 12226609152000.

The previous prime is 51477558642043. The next prime is 51477558642049. The reversal of 51477558642048 is 84024685577415.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 51477558642048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51477558642043) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 308248854061 + ... + 308248854227.

It is an arithmetic number, because the mean of its divisors is an integer number (90837936000).

Almost surely, 2^{51477558642048} 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 51477558642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93018046464000).

51477558642048 is an abundant number, since it is smaller than the sum of its proper divisors (134558534285952).

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

51477558642048 is a wasteful number, since it uses less digits than its factorization.

51477558642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 301056000, while the sum is 66.

The spelling of 51477558642048 in words is "fifty-one trillion, four hundred seventy-seven billion, five hundred fifty-eight million, six hundred forty-two thousand, forty-eight".