52167075840 has 768 divisors, whose sum is σ = 214407648000. Its totient is φ = 11890851840.

The previous prime is 52167075839. The next prime is 52167075841. The reversal of 52167075840 is 4857076125.

52167075840 is a `hidden beast` number, since 5 + 2 + 1 + 67 + 0 + 7 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52167075839) and next prime (52167075841).

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 not an unprimeable number, because it can be changed into a prime (52167075841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51701256 + ... + 51702264.

It is an arithmetic number, because the mean of its divisors is an integer number (279176625).

Almost surely, 2^52167075840 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 52167075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107203824000).

52167075840 is an abundant number, since it is smaller than the sum of its proper divisors (162240572160).

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

52167075840 is a wasteful number, since it uses less digits than its factorization.

52167075840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1073 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 52167075840 in words is "fifty-two billion, one hundred sixty-seven million, seventy-five thousand, eight hundred forty".