10055332656 has 240 divisors, whose sum is σ = 30326496480. Its totient is φ = 3187998720.

The previous prime is 10055332559. The next prime is 10055332699. The reversal of 10055332656 is 65623355001.

10055332656 is a `hidden beast` number, since 10 + 0 + 553 + 32 + 65 + 6 = 666.

It is a super-2 number, since 2×10055332656² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10055332656.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39125680 + ... + 39125936.

It is an arithmetic number, because the mean of its divisors is an integer number (126360402).

Almost surely, 2^10055332656 is an apocalyptic number.

10055332656 is a gapful number since it is divisible by the number (16) 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 10055332656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163248240).

10055332656 is an abundant number, since it is smaller than the sum of its proper divisors (20271163824).

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

10055332656 is a wasteful number, since it uses less digits than its factorization.

10055332656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 10055332656 its reverse (65623355001), we get a palindrome (75678687657).

The spelling of 10055332656 in words is "ten billion, fifty-five million, three hundred thirty-two thousand, six hundred fifty-six".