53746237440000 has 2280 divisors, whose sum is σ = 228935278860288. Its totient is φ = 11890851840000.

The previous prime is 53746237439981. The next prime is 53746237440017. The reversal of 53746237440000 is 4473264735.

53746237440000 is a `hidden beast` number, since 5 + 3 + 7 + 4 + 6 + 237 + 4 + 400 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 423198719937 + ... + 423198720063.

Almost surely, 2^{53746237440000} is an apocalyptic number.

53746237440000 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 53746237440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114467639430144).

53746237440000 is an abundant number, since it is smaller than the sum of its proper divisors (175189041420288).

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

53746237440000 is an frugal number, since it uses more digits than its factorization.

53746237440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 53746237440000 in words is "fifty-three trillion, seven hundred forty-six billion, two hundred thirty-seven million, four hundred forty thousand".