538168190400 has 1344 divisors, whose sum is σ = 2142987840000. Its totient is φ = 130945351680.

The previous prime is 538168190387. The next prime is 538168190423. The reversal of 538168190400 is 4091861835.

538168190400 is a `hidden beast` number, since 5 + 3 + 81 + 6 + 81 + 90 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3871713531 + ... + 3871713669.

It is an arithmetic number, because the mean of its divisors is an integer number (1594485000).

Almost surely, 2^538168190400 is an apocalyptic number.

538168190400 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 538168190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071493920000).

538168190400 is an abundant number, since it is smaller than the sum of its proper divisors (1604819649600).

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

538168190400 is a wasteful number, since it uses less digits than its factorization.

538168190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 538168190400 in words is "five hundred thirty-eight billion, one hundred sixty-eight million, one hundred ninety thousand, four hundred".