53406213600 has 144 divisors (see below), whose sum is σ = 174338060400. Its totient is φ = 14200627200.

The previous prime is 53406213589. The next prime is 53406213611. The reversal of 53406213600 is 631260435.

It is an interprime number because it is at equal distance from previous prime (53406213589) and next prime (53406213611).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 805720 + ... + 869480.

It is an arithmetic number, because the mean of its divisors is an integer number (1210680975).

Almost surely, 2^53406213600 is an apocalyptic number.

53406213600 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 53406213600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87169030200).

53406213600 is an abundant number, since it is smaller than the sum of its proper divisors (120931846800).

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

53406213600 is a wasteful number, since it uses less digits than its factorization.

53406213600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64133 (or 64120 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 53406213600 in words is "fifty-three billion, four hundred six million, two hundred thirteen thousand, six hundred".