10656155282220 has 720 divisors, whose sum is σ = 41354949414240. Its totient is φ = 2282339856384.

The previous prime is 10656155282219. The next prime is 10656155282263. The reversal of 10656155282220 is 2228255165601.

10656155282220 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 615 + 5 + 2 + 8 + 2 + 2 + 20 = 666.

It is a super-2 number, since 2×10656155282220² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 309009099 + ... + 309043581.

It is an arithmetic number, because the mean of its divisors is an integer number (57437429742).

Almost surely, 2^{10656155282220} is an apocalyptic number.

10656155282220 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 10656155282220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20677474707120).

10656155282220 is an abundant number, since it is smaller than the sum of its proper divisors (30698794132020).

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

10656155282220 is a wasteful number, since it uses less digits than its factorization.

10656155282220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764 (or 34746 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 10656155282220 in words is "ten trillion, six hundred fifty-six billion, one hundred fifty-five million, two hundred eighty-two thousand, two hundred twenty".