53149579660800 has 4320 divisors, whose sum is σ = 251905619196000. Its totient is φ = 10905397493760.

The previous prime is 53149579660769. The next prime is 53149579660819. The reversal of 53149579660800 is 806697594135.

53149579660800 is a `hidden beast` number, since 5 + 3 + 1 + 495 + 7 + 9 + 6 + 60 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 152291059026 + ... + 152291059374.

It is an arithmetic number, because the mean of its divisors is an integer number (58311485925).

Almost surely, 2^{53149579660800} is an apocalyptic number.

53149579660800 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 53149579660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125952809598000).

53149579660800 is an abundant number, since it is smaller than the sum of its proper divisors (198756039535200).

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

53149579660800 is a wasteful number, since it uses less digits than its factorization.

53149579660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 53149579660800 in words is "fifty-three trillion, one hundred forty-nine billion, five hundred seventy-nine million, six hundred sixty thousand, eight hundred".