10601236800 has 672 divisors, whose sum is σ = 48196439040. Its totient is φ = 2202163200.

The previous prime is 10601236783. The next prime is 10601236823. The reversal of 10601236800 is 863210601.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×10601236800² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3324807 + ... + 3327993.

Almost surely, 2^10601236800 is an apocalyptic number.

10601236800 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 10601236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24098219520).

10601236800 is an abundant number, since it is smaller than the sum of its proper divisors (37595202240).

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

10601236800 is a wasteful number, since it uses less digits than its factorization.

10601236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3236 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 10601236800 in words is "ten billion, six hundred one million, two hundred thirty-six thousand, eight hundred".