538620945408000 has 7168 divisors, whose sum is σ = 2658632191488000. Its totient is φ = 106542032486400.

The previous prime is 538620945407989. The next prime is 538620945408019. The reversal of 538620945408000 is 804549026835.

538620945408000 is a `hidden beast` number, since 5 + 3 + 8 + 6 + 2 + 0 + 94 + 540 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7168).

It is a super-2 number, since 2×538620945408000² (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 an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 2095801343872 + ... + 2095801344128.

It is an arithmetic number, because the mean of its divisors is an integer number (370902928500).

Almost surely, 2^{538620945408000} is an apocalyptic number.

538620945408000 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 538620945408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329316095744000).

538620945408000 is an abundant number, since it is smaller than the sum of its proper divisors (2120011246080000).

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

538620945408000 is a wasteful number, since it uses less digits than its factorization.

538620945408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 538620945408000 in words is "five hundred thirty-eight trillion, six hundred twenty billion, nine hundred forty-five million, four hundred eight thousand".