53400335616 has 144 divisors (see below), whose sum is σ = 158049601920. Its totient is φ = 17784852480.

The previous prime is 53400335543. The next prime is 53400335617. The reversal of 53400335616 is 61653300435.

53400335616 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 0 + 3 + 35 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53400335617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10441476 + ... + 10446588.

It is an arithmetic number, because the mean of its divisors is an integer number (1097566680).

Almost surely, 2^53400335616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53400335616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79024800960).

53400335616 is an abundant number, since it is smaller than the sum of its proper divisors (104649266304).

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

53400335616 is a wasteful number, since it uses less digits than its factorization.

53400335616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6649 (or 6629 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 53400335616 in words is "fifty-three billion, four hundred million, three hundred thirty-five thousand, six hundred sixteen".