52309735680 has 144 divisors (see below), whose sum is σ = 171579933504. Its totient is φ = 13572218880.

The previous prime is 52309735679. The next prime is 52309735721. The reversal of 52309735680 is 8653790325.

It is a happy number.

It is a super-2 number, since 2×52309735680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42006 + ... + 326165.

It is an arithmetic number, because the mean of its divisors is an integer number (1191527316).

Almost surely, 2^52309735680 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 52309735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85789966752).

52309735680 is an abundant number, since it is smaller than the sum of its proper divisors (119270197824).

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

52309735680 is a wasteful number, since it uses less digits than its factorization.

52309735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368232 (or 368218 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 52309735680 in words is "fifty-two billion, three hundred nine million, seven hundred thirty-five thousand, six hundred eighty".