52662778305100 has 72 divisors (see below), whose sum is σ = 115900406899200. Its totient is φ = 20766901646400.

The previous prime is 52662778305089. The next prime is 52662778305227. The reversal of 52662778305100 is 150387726625.

It is a happy number.

It is a super-2 number, since 2×52662778305100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148305 + ... + 10263895.

It is an arithmetic number, because the mean of its divisors is an integer number (1609727873600).

Almost surely, 2^{52662778305100} is an apocalyptic number.

52662778305100 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 52662778305100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950203449600).

52662778305100 is an abundant number, since it is smaller than the sum of its proper divisors (63237628594100).

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

52662778305100 is a wasteful number, since it uses less digits than its factorization.

52662778305100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10116343 (or 10116336 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 52662778305100 in words is "fifty-two trillion, six hundred sixty-two billion, seven hundred seventy-eight million, three hundred five thousand, one hundred".