534013398812160 has 640 divisors, whose sum is σ = 1958919621120000. Its totient is φ = 137748644167680.

The previous prime is 534013398812099. The next prime is 534013398812183. The reversal of 534013398812160 is 61218893310435.

It is a happy number.

534013398812160 is a `hidden beast` number, since 5 + 3 + 4 + 0 + 13 + 398 + 81 + 2 + 160 = 666.

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

It is a super-2 number, since 2×534013398812160² (a number of 30 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 534013398812097 and 534013398812106.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4921773591 + ... + 4921882089.

It is an arithmetic number, because the mean of its divisors is an integer number (3060811908000).

Almost surely, 2^{534013398812160} 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 534013398812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979459810560000).

534013398812160 is an abundant number, since it is smaller than the sum of its proper divisors (1424906222307840).

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

534013398812160 is a wasteful number, since it uses less digits than its factorization.

534013398812160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110859 (or 110837 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 534013398812160 in words is "five hundred thirty-four trillion, thirteen billion, three hundred ninety-eight million, eight hundred twelve thousand, one hundred sixty".