51546790663488 has 560 divisors, whose sum is σ = 160087267067904. Its totient is φ = 16369113277440.

The previous prime is 51546790663483. The next prime is 51546790663547. The reversal of 51546790663488 is 88436609764515.

51546790663488 is a `hidden beast` number, since 5 + 1 + 54 + 6 + 7 + 90 + 6 + 6 + 3 + 488 = 666.

It is a super-2 number, since 2×51546790663488² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51546790663483) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53305884381 + ... + 53305885347.

Almost surely, 2^{51546790663488} 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 51546790663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80043633533952).

51546790663488 is an abundant number, since it is smaller than the sum of its proper divisors (108540476404416).

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

51546790663488 is a wasteful number, since it uses less digits than its factorization.

51546790663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 51546790663488 in words is "fifty-one trillion, five hundred forty-six billion, seven hundred ninety million, six hundred sixty-three thousand, four hundred eighty-eight".