53031427626240 has 2016 divisors, whose sum is σ = 234838743181056. Its totient is φ = 11191945789440.

The previous prime is 53031427626239. The next prime is 53031427626271. The reversal of 53031427626240 is 4262672413035.

53031427626240 is a `hidden beast` number, since 5 + 3 + 0 + 3 + 14 + 2 + 7 + 6 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×53031427626240² (a number of 28 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 5885183335 + ... + 5885192345.

It is an arithmetic number, because the mean of its divisors is an integer number (116487471816).

Almost surely, 2^{53031427626240} 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 53031427626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117419371590528).

53031427626240 is an abundant number, since it is smaller than the sum of its proper divisors (181807315554816).

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

53031427626240 is an equidigital number, since it uses as much as digits as its factorization.

53031427626240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9127 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 53031427626240 in words is "fifty-three trillion, thirty-one billion, four hundred twenty-seven million, six hundred twenty-six thousand, two hundred forty".