10556046368490 has 256 divisors, whose sum is σ = 30611649429504. Its totient is φ = 2278523520000.

The previous prime is 10556046368473. The next prime is 10556046368507. The reversal of 10556046368490 is 9486364065501.

It is an interprime number because it is at equal distance from previous prime (10556046368473) and next prime (10556046368507).

It is a super-2 number, since 2×10556046368490² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10556046368490.

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, 305946240 + ... + 305980740.

It is an arithmetic number, because the mean of its divisors is an integer number (119576755584).

Almost surely, 2^{10556046368490} is an apocalyptic number.

10556046368490 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 10556046368490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305824714752).

10556046368490 is an abundant number, since it is smaller than the sum of its proper divisors (20055603061014).

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

10556046368490 is a wasteful number, since it uses less digits than its factorization.

10556046368490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35685.

The product of its (nonzero) digits is 18662400, while the sum is 57.

The spelling of 10556046368490 in words is "ten trillion, five hundred fifty-six billion, forty-six million, three hundred sixty-eight thousand, four hundred ninety".