10056026290320 has 240 divisors, whose sum is σ = 35274252511680. Its totient is φ = 2662314158592.

The previous prime is 10056026290237. The next prime is 10056026290333. The reversal of 10056026290320 is 2309262065001.

10056026290320 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 6 + 0 + 2 + 629 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10056026290320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841422 + ... + 4562898.

It is an arithmetic number, because the mean of its divisors is an integer number (146976052132).

Almost surely, 2^{10056026290320} is an apocalyptic number.

10056026290320 is a gapful number since it is divisible by the number (10) 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 10056026290320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17637126255840).

10056026290320 is an abundant number, since it is smaller than the sum of its proper divisors (25218226221360).

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

10056026290320 is a wasteful number, since it uses less digits than its factorization.

10056026290320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721644 (or 3721626 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10056026290320 in words is "ten trillion, fifty-six billion, twenty-six million, two hundred ninety thousand, three hundred twenty".