52277762500 has 288 divisors, whose sum is σ = 127547148960. Its totient is φ = 18662400000.

The previous prime is 52277762461. The next prime is 52277762507. The reversal of 52277762500 is 526777225.

It can be written as a sum of positive squares in 48 ways, for example, as 36913168384 + 15364594116 = 192128^2 + 123954^2 .

It is not an unprimeable number, because it can be changed into a prime (52277762507) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479612446 + ... + 479612554.

It is an arithmetic number, because the mean of its divisors is an integer number (442872045).

Almost surely, 2^52277762500 is an apocalyptic number.

52277762500 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 52277762500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63773574480).

52277762500 is an abundant number, since it is smaller than the sum of its proper divisors (75269386460).

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

52277762500 is a wasteful number, since it uses less digits than its factorization.

52277762500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 43.

The spelling of 52277762500 in words is "fifty-two billion, two hundred seventy-seven million, seven hundred sixty-two thousand, five hundred".