53685072691200 has 1260 divisors, whose sum is σ = 201443114372808. Its totient is φ = 14133126758400.

The previous prime is 53685072691181. The next prime is 53685072691231. The reversal of 53685072691200 is 219627058635.

53685072691200 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 507 + 2 + 6 + 9 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 278160998304 + ... + 278160998496.

Almost surely, 2^{53685072691200} is an apocalyptic number.

53685072691200 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 53685072691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100721557186404).

53685072691200 is an abundant number, since it is smaller than the sum of its proper divisors (147758041681608).

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

53685072691200 is an frugal number, since it uses more digits than its factorization.

53685072691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 53685072691200 in words is "fifty-three trillion, six hundred eighty-five billion, seventy-two million, six hundred ninety-one thousand, two hundred".