53766260433600 has 672 divisors, whose sum is σ = 207346931447040. Its totient is φ = 12025227264000.

The previous prime is 53766260433581. The next prime is 53766260433631. The reversal of 53766260433600 is 633406266735.

It is a super-2 number, since 2×53766260433600² (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 95 ways as a sum of consecutive naturals, for example, 1358365810 + ... + 1358405390.

It is an arithmetic number, because the mean of its divisors is an integer number (308551981320).

Almost surely, 2^{53766260433600} is an apocalyptic number.

53766260433600 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 53766260433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103673465723520).

53766260433600 is an abundant number, since it is smaller than the sum of its proper divisors (153580671013440).

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

53766260433600 is a wasteful number, since it uses less digits than its factorization.

53766260433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41609 (or 41594 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 51.

The spelling of 53766260433600 in words is "fifty-three trillion, seven hundred sixty-six billion, two hundred sixty million, four hundred thirty-three thousand, six hundred".