542154172520664 has 640 divisors, whose sum is σ = 1753648137077760. Its totient is φ = 155004192000000.

The previous prime is 542154172520561. The next prime is 542154172520713. The reversal of 542154172520664 is 466025271451245.

542154172520664 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 5 + 41 + 72 + 520 + 6 + 6 + 4 = 666.

It is a super-2 number, since 2×542154172520664² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 542154172520664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1269019489 + ... + 1269446639.

It is an arithmetic number, because the mean of its divisors is an integer number (2740075214184).

Almost surely, 2^{542154172520664} is an apocalyptic number.

542154172520664 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542154172520664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876824068538880).

542154172520664 is an abundant number, since it is smaller than the sum of its proper divisors (1211493964557096).

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

542154172520664 is a wasteful number, since it uses less digits than its factorization.

542154172520664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427365 (or 427352 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 542154172520664 in words is "five hundred forty-two trillion, one hundred fifty-four billion, one hundred seventy-two million, five hundred twenty thousand, six hundred sixty-four".