53510868000 has 480 divisors, whose sum is σ = 197400451248. Its totient is φ = 14197248000.

The previous prime is 53510867929. The next prime is 53510868011. The reversal of 53510868000 is 86801535.

It can be written as a sum of positive squares in 8 ways, for example, as 2186871696 + 51323996304 = 46764^2 + 226548^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×53510868000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 102707740 + ... + 102708260.

Almost surely, 2^53510868000 is an apocalyptic number.

53510868000 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 53510868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98700225624).

53510868000 is an abundant number, since it is smaller than the sum of its proper divisors (143889583248).

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

53510868000 is a wasteful number, since it uses less digits than its factorization.

53510868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 53510868000 in words is "fifty-three billion, five hundred ten million, eight hundred sixty-eight thousand".