54210764160 has 1024 divisors, whose sum is σ = 238368614400. Its totient is φ = 11360010240.

The previous prime is 54210764141. The next prime is 54210764243. The reversal of 54210764160 is 6146701245.

54210764160 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 0 + 7 + 641 + 6 + 0 = 666.

54210764160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54210764160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84308799 + ... + 84309441.

It is an arithmetic number, because the mean of its divisors is an integer number (232781850).

Almost surely, 2^54210764160 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 54210764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119184307200).

54210764160 is an abundant number, since it is smaller than the sum of its proper divisors (184157850240).

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

54210764160 is a wasteful number, since it uses less digits than its factorization.

54210764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 54210764160 in words is "fifty-four billion, two hundred ten million, seven hundred sixty-four thousand, one hundred sixty".