54970417152 has 432 divisors, whose sum is σ = 190064160720. Its totient is φ = 15656288256.

The previous prime is 54970417109. The next prime is 54970417157. The reversal of 54970417152 is 25171407945.

54970417152 is a `hidden beast` number, since 5 + 497 + 0 + 4 + 1 + 7 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×54970417152² (a number of 22 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54970417098 and 54970417107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54970417157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173408098 + ... + 173408414.

It is an arithmetic number, because the mean of its divisors is an integer number (439963335).

Almost surely, 2^54970417152 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 54970417152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95032080360).

54970417152 is an abundant number, since it is smaller than the sum of its proper divisors (135093743568).

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

54970417152 is an frugal number, since it uses more digits than its factorization.

54970417152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 54970417152 in words is "fifty-four billion, nine hundred seventy million, four hundred seventeen thousand, one hundred fifty-two".