10061566607200 has 72 divisors (see below), whose sum is σ = 24691400899200. Its totient is φ = 4003555238400.

The previous prime is 10061566607093. The next prime is 10061566607221. The reversal of 10061566607200 is 270666516001.

It is a super-2 number, since 2×10061566607200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32771175 + ... + 33076774.

It is an arithmetic number, because the mean of its divisors is an integer number (342936123600).

Almost surely, 2^{10061566607200} is an apocalyptic number.

10061566607200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10061566607200 is an abundant number, since it is smaller than the sum of its proper divisors (14629834292000).

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

10061566607200 is a wasteful number, since it uses less digits than its factorization.

10061566607200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65848160 (or 65848147 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10061566607200 in words is "ten trillion, sixty-one billion, five hundred sixty-six million, six hundred seven thousand, two hundred".