10620590400 has 840 divisors, whose sum is σ = 46646835840. Its totient is φ = 2317455360.

The previous prime is 10620590317. The next prime is 10620590411. The reversal of 10620590400 is 409502601.

10620590400 is a `hidden beast` number, since 10 + 6 + 20 + 590 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×10620590400² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20865346 + ... + 20865854.

Almost surely, 2^10620590400 is an apocalyptic number.

10620590400 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 10620590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23323417920).

10620590400 is an abundant number, since it is smaller than the sum of its proper divisors (36026245440).

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

10620590400 is a wasteful number, since it uses less digits than its factorization.

10620590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10620590400 in words is "ten billion, six hundred twenty million, five hundred ninety thousand, four hundred".