10706572800 has 1440 divisors, whose sum is σ = 51292859904. Its totient is φ = 2064384000.

The previous prime is 10706572741. The next prime is 10706572801. The reversal of 10706572800 is 827560701.

10706572800 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 6 + 572 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×10706572800² (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 (10706572801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150796765 + ... + 150796835.

Almost surely, 2^10706572800 is an apocalyptic number.

10706572800 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 10706572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25646429952).

10706572800 is an abundant number, since it is smaller than the sum of its proper divisors (40586287104).

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

10706572800 is a wasteful number, since it uses less digits than its factorization.

10706572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 10706572800 in words is "ten billion, seven hundred six million, five hundred seventy-two thousand, eight hundred".