10210666931640 has 768 divisors, whose sum is σ = 40756983321600. Its totient is φ = 2249468153856.

The previous prime is 10210666931627. The next prime is 10210666931687. The reversal of 10210666931640 is 4613966601201.

10210666931640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10210666931640² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1217435527 + ... + 1217443913.

It is an arithmetic number, because the mean of its divisors is an integer number (53068988700).

Almost surely, 2^{10210666931640} is an apocalyptic number.

10210666931640 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 10210666931640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20378491660800).

10210666931640 is an abundant number, since it is smaller than the sum of its proper divisors (30546316389960).

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

10210666931640 is a wasteful number, since it uses less digits than its factorization.

10210666931640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9066 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 10210666931640 in words is "ten trillion, two hundred ten billion, six hundred sixty-six million, nine hundred thirty-one thousand, six hundred forty".