53146098432000 has 3456 divisors, whose sum is σ = 236444433039360. Its totient is φ = 11663253504000.

The previous prime is 53146098431983. The next prime is 53146098432137. The reversal of 53146098432000 is 23489064135.

53146098432000 is a `hidden beast` number, since 5 + 3 + 1 + 4 + 609 + 8 + 4 + 32 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 418473215937 + ... + 418473216063.

It is an arithmetic number, because the mean of its divisors is an integer number (68415634560).

Almost surely, 2^{53146098432000} is an apocalyptic number.

53146098432000 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 53146098432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118222216519680).

53146098432000 is an abundant number, since it is smaller than the sum of its proper divisors (183298334607360).

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

53146098432000 is an equidigital number, since it uses as much as digits as its factorization.

53146098432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 53146098432000 in words is "fifty-three trillion, one hundred forty-six billion, ninety-eight million, four hundred thirty-two thousand".