51838064640 has 768 divisors, whose sum is σ = 200609136000. Its totient is φ = 12645826560.

The previous prime is 51838064633. The next prime is 51838064653. The reversal of 51838064640 is 4646083815.

51838064640 is a `hidden beast` number, since 5 + 183 + 8 + 0 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192706426 + ... + 192706694.

Almost surely, 2^51838064640 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 51838064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100304568000).

51838064640 is an abundant number, since it is smaller than the sum of its proper divisors (148771071360).

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

51838064640 is a wasteful number, since it uses less digits than its factorization.

51838064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 51838064640 in words is "fifty-one billion, eight hundred thirty-eight million, sixty-four thousand, six hundred forty".