541072029888 has 504 divisors, whose sum is σ = 1827729749664. Its totient is φ = 151601725440.

The previous prime is 541072029853. The next prime is 541072029907. The reversal of 541072029888 is 888920270145.

541072029888 is a `hidden beast` number, since 541 + 0 + 7 + 2 + 0 + 2 + 98 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122329245 + ... + 122333667.

It is an arithmetic number, because the mean of its divisors is an integer number (3626447916).

Almost surely, 2^541072029888 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 541072029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913864874832).

541072029888 is an abundant number, since it is smaller than the sum of its proper divisors (1286657719776).

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

541072029888 is a wasteful number, since it uses less digits than its factorization.

541072029888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 541072029888 in words is "five hundred forty-one billion, seventy-two million, twenty-nine thousand, eight hundred eighty-eight".