538432634880 has 1512 divisors, whose sum is σ = 2351775030192. Its totient is φ = 117719433216.

The previous prime is 538432634879. The next prime is 538432634881. The reversal of 538432634880 is 88436234835.

538432634880 is a `hidden beast` number, since 5 + 38 + 432 + 63 + 48 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (538432634879) and next prime (538432634881).

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×538432634880² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538432634881) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23410114549 + ... + 23410114571.

It is an arithmetic number, because the mean of its divisors is an integer number (1555406766).

Almost surely, 2^538432634880 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 538432634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175887515096).

538432634880 is an abundant number, since it is smaller than the sum of its proper divisors (1813342395312).

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

538432634880 is an frugal number, since it uses more digits than its factorization.

538432634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 538432634880 in words is "five hundred thirty-eight billion, four hundred thirty-two million, six hundred thirty-four thousand, eight hundred eighty".