53678252512800 has 144 divisors (see below), whose sum is σ = 194136346666080. Its totient is φ = 14314200664320.

The previous prime is 53678252512789. The next prime is 53678252512823. The reversal of 53678252512800 is 821525287635.

It is a happy number.

53678252512800 is a `hidden beast` number, since 5 + 3 + 6 + 78 + 2 + 52 + 512 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1242530542 + ... + 1242573741.

It is an arithmetic number, because the mean of its divisors is an integer number (1348169074070).

Almost surely, 2^{53678252512800} is an apocalyptic number.

53678252512800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

53678252512800 is an abundant number, since it is smaller than the sum of its proper divisors (140458094153280).

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

53678252512800 is a wasteful number, since it uses less digits than its factorization.

53678252512800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485104312 (or 2485104293 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 53678252512800 in words is "fifty-three trillion, six hundred seventy-eight billion, two hundred fifty-two million, five hundred twelve thousand, eight hundred".