538541759700 has 720 divisors, whose sum is σ = 2032669900800. Its totient is φ = 120800160000.

The previous prime is 538541759683. The next prime is 538541759857. The reversal of 538541759700 is 7957145835.

538541759700 is a `hidden beast` number, since 5 + 3 + 8 + 5 + 41 + 7 + 597 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1124304061 + ... + 1124304539.

It is an arithmetic number, because the mean of its divisors is an integer number (2823152640).

Almost surely, 2^538541759700 is an apocalyptic number.

538541759700 is a gapful number since it is divisible by the number (50) 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 538541759700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016334950400).

538541759700 is an abundant number, since it is smaller than the sum of its proper divisors (1494128141100).

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

538541759700 is a wasteful number, since it uses less digits than its factorization.

538541759700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 538541759700 in words is "five hundred thirty-eight billion, five hundred forty-one million, seven hundred fifty-nine thousand, seven hundred".