52166110752000 has 576 divisors, whose sum is σ = 220025088192000. Its totient is φ = 11923681075200.

The previous prime is 52166110751981. The next prime is 52166110752001. The reversal of 52166110752000 is 25701166125.

52166110752000 is a `hidden beast` number, since 5 + 2 + 16 + 6 + 110 + 7 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×52166110752000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52166110752001) 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, 1735326 + ... + 10360674.

Almost surely, 2^{52166110752000} is an apocalyptic number.

52166110752000 is a gapful number since it is divisible by the number (50) 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 52166110752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110012544096000).

52166110752000 is an abundant number, since it is smaller than the sum of its proper divisors (167858977440000).

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

52166110752000 is an equidigital number, since it uses as much as digits as its factorization.

52166110752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8625396 (or 8625366 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 52166110752000 in words is "fifty-two trillion, one hundred sixty-six billion, one hundred ten million, seven hundred fifty-two thousand".