53954334720 has 1248 divisors, whose sum is σ = 231843306240. Its totient is φ = 11418992640.

The previous prime is 53954334719. The next prime is 53954334767. The reversal of 53954334720 is 2743345935.

53954334720 is a `hidden beast` number, since 5 + 3 + 9 + 543 + 34 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×53954334720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 606228436 + ... + 606228524.

It is an arithmetic number, because the mean of its divisors is an integer number (185771880).

Almost surely, 2^53954334720 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 53954334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115921653120).

53954334720 is an abundant number, since it is smaller than the sum of its proper divisors (177888971520).

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

53954334720 is a wasteful number, since it uses less digits than its factorization.

53954334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 53954334720 in words is "fifty-three billion, nine hundred fifty-four million, three hundred thirty-four thousand, seven hundred twenty".