52351195760640 has 1536 divisors, whose sum is σ = 219035142144000. Its totient is φ = 11610079100928.

The previous prime is 52351195760629. The next prime is 52351195760681. The reversal of 52351195760640 is 4606759115325.

52351195760640 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 1 + 1 + 9 + 576 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33154651371 + ... + 33154652949.

It is an arithmetic number, because the mean of its divisors is an integer number (142601004000).

Almost surely, 2^{52351195760640} 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 52351195760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109517571072000).

52351195760640 is an abundant number, since it is smaller than the sum of its proper divisors (166683946383360).

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

52351195760640 is a wasteful number, since it uses less digits than its factorization.

52351195760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 52351195760640 in words is "fifty-two trillion, three hundred fifty-one billion, one hundred ninety-five million, seven hundred sixty thousand, six hundred forty".