53834256504000 has 2688 divisors, whose sum is σ = 240907174410240. Its totient is φ = 11713185792000.

The previous prime is 53834256503971. The next prime is 53834256504029. The reversal of 53834256504000 is 40565243835.

53834256504000 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 42 + 565 + 0 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (53834256503971) and next prime (53834256504029).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 68404391607 + ... + 68404392393.

Almost surely, 2^{53834256504000} is an apocalyptic number.

53834256504000 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 53834256504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120453587205120).

53834256504000 is an abundant number, since it is smaller than the sum of its proper divisors (187072917906240).

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

53834256504000 is a wasteful number, since it uses less digits than its factorization.

53834256504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 53834256504000 in words is "fifty-three trillion, eight hundred thirty-four billion, two hundred fifty-six million, five hundred four thousand".