52435673127936 has 1056 divisors, whose sum is σ = 181482762240000. Its totient is φ = 14266123812864.

The previous prime is 52435673127923. The next prime is 52435673127947. The reversal of 52435673127936 is 63972137653425.

52435673127936 is a `hidden beast` number, since 5 + 2 + 4 + 3 + 567 + 31 + 2 + 7 + 9 + 36 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 47281940950 + ... + 47281942058.

Almost surely, 2^{52435673127936} is an apocalyptic number.

52435673127936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52435673127936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90741381120000).

52435673127936 is an abundant number, since it is smaller than the sum of its proper divisors (129047089112064).

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

52435673127936 is a wasteful number, since it uses less digits than its factorization.

52435673127936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1476 counting only the distinct ones).

The product of its digits is 171460800, while the sum is 63.

The spelling of 52435673127936 in words is "fifty-two trillion, four hundred thirty-five billion, six hundred seventy-three million, one hundred twenty-seven thousand, nine hundred thirty-six".