1010478526848 has 1024 divisors, whose sum is σ = 3775403520000. Its totient is φ = 264881111040.

The previous prime is 1010478526823. The next prime is 1010478526913. The reversal of 1010478526848 is 8486258740101.

1010478526848 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 78 + 526 + 8 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1010478526794 and 1010478526803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 826228765 + ... + 826229987.

It is an arithmetic number, because the mean of its divisors is an integer number (3686917500).

Almost surely, 2^{1010478526848} is an apocalyptic number.

1010478526848 is a gapful number since it is divisible by the number (18) 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 1010478526848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887701760000).

1010478526848 is an abundant number, since it is smaller than the sum of its proper divisors (2764924993152).

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

1010478526848 is a wasteful number, since it uses less digits than its factorization.

1010478526848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 1010478526848 in words is "one trillion, ten billion, four hundred seventy-eight million, five hundred twenty-six thousand, eight hundred forty-eight".