53520660446400 has 3360 divisors, whose sum is σ = 249134347714560. Its totient is φ = 10987913502720.

The previous prime is 53520660446353. The next prime is 53520660446413. The reversal of 53520660446400 is 464406602535.

It is a happy number.

53520660446400 is a `hidden beast` number, since 5 + 3 + 520 + 6 + 60 + 4 + 4 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×53520660446400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 50348692269 + ... + 50348693331.

It is an arithmetic number, because the mean of its divisors is an integer number (74147127296).

Almost surely, 2^{53520660446400} is an apocalyptic number.

53520660446400 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 53520660446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124567173857280).

53520660446400 is an abundant number, since it is smaller than the sum of its proper divisors (195613687268160).

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

53520660446400 is a wasteful number, since it uses less digits than its factorization.

53520660446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 53520660446400 in words is "fifty-three trillion, five hundred twenty billion, six hundred sixty million, four hundred forty-six thousand, four hundred".