531693448151040 has 5040 divisors, whose sum is σ = 2392867194822720. Its totient is φ = 112689602887680.

The previous prime is 531693448150913. The next prime is 531693448151123. The reversal of 531693448151040 is 40151844396135.

531693448151040 is a `hidden beast` number, since 5 + 3 + 1 + 6 + 9 + 3 + 4 + 4 + 81 + 510 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5040).

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 335 ways as a sum of consecutive naturals, for example, 4058728611775 + ... + 4058728611905.

It is an arithmetic number, because the mean of its divisors is an integer number (474775237068).

Almost surely, 2^{531693448151040} 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 531693448151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196433597411360).

531693448151040 is an abundant number, since it is smaller than the sum of its proper divisors (1861173746671680).

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

531693448151040 is an equidigital number, since it uses as much as digits as its factorization.

531693448151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 531693448151040 in words is "five hundred thirty-one trillion, six hundred ninety-three billion, four hundred forty-eight million, one hundred fifty-one thousand, forty".