54187086385152 has 832 divisors, whose sum is σ = 195573296128000. Its totient is φ = 14481210212352.

The previous prime is 54187086385051. The next prime is 54187086385163. The reversal of 54187086385152 is 25158368078145.

It is a happy number.

54187086385152 is a `hidden beast` number, since 5 + 4 + 1 + 8 + 7 + 0 + 86 + 38 + 515 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 54187086385152.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161966828 + ... + 1162013460.

Almost surely, 2^{54187086385152} 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 54187086385152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97786648064000).

54187086385152 is an abundant number, since it is smaller than the sum of its proper divisors (141386209742848).

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

54187086385152 is a wasteful number, since it uses less digits than its factorization.

54187086385152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46771 (or 46743 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 54187086385152 in words is "fifty-four trillion, one hundred eighty-seven billion, eighty-six million, three hundred eighty-five thousand, one hundred fifty-two".