53950653120 has 448 divisors, whose sum is σ = 216533431296. Its totient is φ = 11074682880.

The previous prime is 53950653109. The next prime is 53950653131. The reversal of 53950653120 is 2135605935.

It is an interprime number because it is at equal distance from previous prime (53950653109) and next prime (53950653131).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 3223975 + ... + 3240665.

It is an arithmetic number, because the mean of its divisors is an integer number (483333552).

Almost surely, 2^53950653120 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 53950653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108266715648).

53950653120 is an abundant number, since it is smaller than the sum of its proper divisors (162582778176).

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

53950653120 is a wasteful number, since it uses less digits than its factorization.

53950653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16768 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 39.

The spelling of 53950653120 in words is "fifty-three billion, nine hundred fifty million, six hundred fifty-three thousand, one hundred twenty".