10147808430270 has 1152 divisors, whose sum is σ = 34032425581440. Its totient is φ = 2085938749440.

The previous prime is 10147808430269. The next prime is 10147808430281. The reversal of 10147808430270 is 7203480874101.

10147808430270 is a `hidden beast` number, since 1 + 0 + 1 + 478 + 0 + 84 + 30 + 2 + 70 = 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 575 ways as a sum of consecutive naturals, for example, 10784068000 + ... + 10784068940.

It is an arithmetic number, because the mean of its divisors is an integer number (29542036095).

Almost surely, 2^{10147808430270} is an apocalyptic number.

10147808430270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10147808430270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016212790720).

10147808430270 is an abundant number, since it is smaller than the sum of its proper divisors (23884617151170).

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

10147808430270 is a wasteful number, since it uses less digits than its factorization.

10147808430270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10147808430270 in words is "ten trillion, one hundred forty-seven billion, eight hundred eight million, four hundred thirty thousand, two hundred seventy".