52409697303600 has 720 divisors, whose sum is σ = 237015173932992. Its totient is φ = 10407406141440.

The previous prime is 52409697303581. The next prime is 52409697303643. The reversal of 52409697303600 is 630379690425.

52409697303600 is a `hidden beast` number, since 5 + 24 + 0 + 9 + 6 + 9 + 7 + 3 + 0 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×52409697303600² (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 143 ways as a sum of consecutive naturals, for example, 863884 + ... + 10274516.

Almost surely, 2^{52409697303600} is an apocalyptic number.

52409697303600 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 52409697303600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118507586966496).

52409697303600 is an abundant number, since it is smaller than the sum of its proper divisors (184605476629392).

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

52409697303600 is a wasteful number, since it uses less digits than its factorization.

52409697303600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410694 (or 9410680 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 52409697303600 in words is "fifty-two trillion, four hundred nine billion, six hundred ninety-seven million, three hundred three thousand, six hundred".