5400015122664 has 384 divisors, whose sum is σ = 15857845735680. Its totient is φ = 1653986304000.

The previous prime is 5400015122629. The next prime is 5400015122687. The reversal of 5400015122664 is 4662215100045.

5400015122664 is a `hidden beast` number, since 540 + 0 + 0 + 1 + 51 + 2 + 2 + 6 + 64 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3527115579 + ... + 3527117109.

It is an arithmetic number, because the mean of its divisors is an integer number (41296473270).

Almost surely, 2^{5400015122664} 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 5400015122664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928922867840).

5400015122664 is an abundant number, since it is smaller than the sum of its proper divisors (10457830613016).

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

5400015122664 is a wasteful number, since it uses less digits than its factorization.

5400015122664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

It can be divided in two parts, 54000151 and 22664, that added together give a triangular number (54022815 = T₁₀₃₉₄).

The spelling of 5400015122664 in words is "five trillion, four hundred billion, fifteen million, one hundred twenty-two thousand, six hundred sixty-four".