10655420400 has 450 divisors, whose sum is σ = 40404391632. Its totient is φ = 2688940800.

The previous prime is 10655420389. The next prime is 10655420401. The reversal of 10655420400 is 402455601.

10655420400 is a `hidden beast` number, since 1 + 0 + 655 + 4 + 2 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (450).

It is a super-2 number, since 2×10655420400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10655420401) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 11695945 + ... + 11696855.

Almost surely, 2^10655420400 is an apocalyptic number.

10655420400 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 10655420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20202195816).

10655420400 is an abundant number, since it is smaller than the sum of its proper divisors (29748971232).

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

10655420400 is a wasteful number, since it uses less digits than its factorization.

10655420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 10655420400 in words is "ten billion, six hundred fifty-five million, four hundred twenty thousand, four hundred".