54070117920 has 1440 divisors, whose sum is σ = 249821687808. Its totient is φ = 10722668544.

The previous prime is 54070117889. The next prime is 54070117963. The reversal of 54070117920 is 2971107045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 425748897 + ... + 425749023.

Almost surely, 2^54070117920 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 54070117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124910843904).

54070117920 is an abundant number, since it is smaller than the sum of its proper divisors (195751569888).

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

54070117920 is a wasteful number, since it uses less digits than its factorization.

54070117920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 54070117920 in words is "fifty-four billion, seventy million, one hundred seventeen thousand, nine hundred twenty".