10616522400 has 216 divisors, whose sum is σ = 40840136064. Its totient is φ = 2573683200.

The previous prime is 10616522393. The next prime is 10616522429. The reversal of 10616522400 is 422561601.

10616522400 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 652 + 2 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×10616522400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12177 + ... + 146223.

It is an arithmetic number, because the mean of its divisors is an integer number (189074704).

Almost surely, 2^10616522400 is an apocalyptic number.

10616522400 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 10616522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20420068032).

10616522400 is an abundant number, since it is smaller than the sum of its proper divisors (30223613664).

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

10616522400 is a wasteful number, since it uses less digits than its factorization.

10616522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134084 (or 134068 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10616522400 in words is "ten billion, six hundred sixteen million, five hundred twenty-two thousand, four hundred".