54195125760 has 640 divisors, whose sum is σ = 209772288000. Its totient is φ = 13209993216.

The previous prime is 54195125729. The next prime is 54195125767. The reversal of 54195125760 is 6752159145.

It is a happy number.

54195125760 is a `hidden beast` number, since 54 + 19 + 5 + 12 + 576 + 0 = 666.

54195125760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×54195125760² (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 not an unprimeable number, because it can be changed into a prime (54195125767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38084409 + ... + 38085831.

It is an arithmetic number, because the mean of its divisors is an integer number (327769200).

Almost surely, 2^54195125760 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 54195125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104886144000).

54195125760 is an abundant number, since it is smaller than the sum of its proper divisors (155577162240).

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

54195125760 is a wasteful number, since it uses less digits than its factorization.

54195125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 54195125760 in words is "fifty-four billion, one hundred ninety-five million, one hundred twenty-five thousand, seven hundred sixty".