6253079357952 has 1040 divisors, whose sum is σ = 22181483121600. Its totient is φ = 1759928518656.

The previous prime is 6253079357867. The next prime is 6253079357969. The reversal of 6253079357952 is 2597539703526.

It is a happy number.

6253079357952 is a `hidden beast` number, since 6 + 2 + 5 + 3 + 0 + 7 + 9 + 3 + 579 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 6253079357952.

It is an unprimeable number.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 93329542623 + ... + 93329542689.

Almost surely, 2^{6253079357952} 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 6253079357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11090741560800).

6253079357952 is an abundant number, since it is smaller than the sum of its proper divisors (15928403763648).

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

6253079357952 is an frugal number, since it uses more digits than its factorization.

6253079357952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 107163000, while the sum is 63.

The spelling of 6253079357952 in words is "six trillion, two hundred fifty-three billion, seventy-nine million, three hundred fifty-seven thousand, nine hundred fifty-two".