52951449600 has 1224 divisors, whose sum is σ = 236640826240. Its totient is φ = 11466178560.

The previous prime is 52951449559. The next prime is 52951449631. The reversal of 52951449600 is 694415925.

52951449600 is a `hidden beast` number, since 5 + 29 + 5 + 14 + 4 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2786918391 + ... + 2786918409.

Almost surely, 2^52951449600 is an apocalyptic number.

52951449600 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 52951449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118320413120).

52951449600 is an abundant number, since it is smaller than the sum of its proper divisors (183689376640).

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

52951449600 is an frugal number, since it uses more digits than its factorization.

52951449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 52951449600 in words is "fifty-two billion, nine hundred fifty-one million, four hundred forty-nine thousand, six hundred".