53194814551200 has 288 divisors, whose sum is σ = 197988596918784. Its totient is φ = 12152431549440.

The previous prime is 53194814551181. The next prime is 53194814551211. The reversal of 53194814551200 is 215541849135.

It is a super-3 number, since 3×53194814551200³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 53194814551200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31207407 + ... + 32867793.

It is an arithmetic number, because the mean of its divisors is an integer number (687460405968).

Almost surely, 2^{53194814551200} is an apocalyptic number.

53194814551200 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 53194814551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98994298459392).

53194814551200 is an abundant number, since it is smaller than the sum of its proper divisors (144793782367584).

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

53194814551200 is a wasteful number, since it uses less digits than its factorization.

53194814551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662324 (or 1662311 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 53194814551200 in words is "fifty-three trillion, one hundred ninety-four billion, eight hundred fourteen million, five hundred fifty-one thousand, two hundred".