54292070016 has 128 divisors (see below), whose sum is σ = 160659302400. Its totient is φ = 18049665024.

The previous prime is 54292070003. The next prime is 54292070017. The reversal of 54292070016 is 61007029245.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (54292070017) 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, 1303140 + ... + 1344156.

It is an arithmetic number, because the mean of its divisors is an integer number (1255150800).

Almost surely, 2^54292070016 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 54292070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80329651200).

54292070016 is an abundant number, since it is smaller than the sum of its proper divisors (106367232384).

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

54292070016 is a wasteful number, since it uses less digits than its factorization.

54292070016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41423 (or 41405 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 54292070016 in words is "fifty-four billion, two hundred ninety-two million, seventy thousand, sixteen".