10662554007000 has 1152 divisors, whose sum is σ = 44753962406400. Its totient is φ = 2276237376000.

The previous prime is 10662554006941. The next prime is 10662554007013. The reversal of 10662554007000 is 70045526601.

It is a happy number.

10662554007000 is a `hidden beast` number, since 106 + 6 + 2 + 5 + 540 + 0 + 7 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×10662554007000² (a number of 27 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 an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 594900039 + ... + 594917961.

It is an arithmetic number, because the mean of its divisors is an integer number (38848925700).

Almost surely, 2^{10662554007000} is an apocalyptic number.

10662554007000 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 10662554007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22376981203200).

10662554007000 is an abundant number, since it is smaller than the sum of its proper divisors (34091408399400).

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

10662554007000 is a wasteful number, since it uses less digits than its factorization.

10662554007000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18054 (or 18030 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10662554007000 in words is "ten trillion, six hundred sixty-two billion, five hundred fifty-four million, seven thousand".