10686902400 has 384 divisors, whose sum is σ = 40180166400. Its totient is φ = 2771988480.

The previous prime is 10686902353. The next prime is 10686902407. The reversal of 10686902400 is 420968601.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10686902400² (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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (10686902407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3195129 + ... + 3198471.

It is an arithmetic number, because the mean of its divisors is an integer number (104635850).

Almost surely, 2^10686902400 is an apocalyptic number.

10686902400 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 10686902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20090083200).

10686902400 is an abundant number, since it is smaller than the sum of its proper divisors (29493264000).

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

10686902400 is a wasteful number, since it uses less digits than its factorization.

10686902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 10686902400 in words is "ten billion, six hundred eighty-six million, nine hundred two thousand, four hundred".