52022661600 has 864 divisors, whose sum is σ = 213272849664. Its totient is φ = 10782720000.

The previous prime is 52022661583. The next prime is 52022661623. The reversal of 52022661600 is 616622025.

It is a super-2 number, since 2×52022661600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 207261475 + ... + 207261725.

It is an arithmetic number, because the mean of its divisors is an integer number (246843576).

Almost surely, 2^52022661600 is an apocalyptic number.

52022661600 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 52022661600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106636424832).

52022661600 is an abundant number, since it is smaller than the sum of its proper divisors (161250188064).

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

52022661600 is a wasteful number, since it uses less digits than its factorization.

52022661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 52022661600 in words is "fifty-two billion, twenty-two million, six hundred sixty-one thousand, six hundred".