53364153920000 has 1600 divisors, whose sum is σ = 180546718556160. Its totient is φ = 15245107200000.

The previous prime is 53364153919961. The next prime is 53364153920003. The reversal of 53364153920000 is 2935146335.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a self number, because there is not a number n which added to its sum of digits gives 53364153920000.

It is not an unprimeable number, because it can be changed into a prime (53364153920003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14512958162 + ... + 14512961838.

Almost surely, 2^{53364153920000} is an apocalyptic number.

53364153920000 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 53364153920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90273359278080).

53364153920000 is an abundant number, since it is smaller than the sum of its proper divisors (127182564636160).

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

53364153920000 is a wasteful number, since it uses less digits than its factorization.

53364153920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3752 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The spelling of 53364153920000 in words is "fifty-three trillion, three hundred sixty-four billion, one hundred fifty-three million, nine hundred twenty thousand".