10372207662080 has 264 divisors, whose sum is σ = 27864796195656. Its totient is φ = 3700535787520.

The previous prime is 10372207662049. The next prime is 10372207662101. The reversal of 10372207662080 is 8026670227301.

It can be written as a sum of positive squares in 4 ways, for example, as 5507395142656 + 4864812519424 = 2346784^2 + 2205632^2 .

It is a super-3 number, since 3×10372207662080³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32676614 + ... + 32992506.

Almost surely, 2^{10372207662080} is an apocalyptic number.

10372207662080 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 10372207662080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932398097828).

10372207662080 is an abundant number, since it is smaller than the sum of its proper divisors (17492588533576).

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

10372207662080 is a wasteful number, since it uses less digits than its factorization.

10372207662080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315993 (or 315964 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

Adding to 10372207662080 its reverse (8026670227301), we get a palindrome (18398877889381).

The spelling of 10372207662080 in words is "ten trillion, three hundred seventy-two billion, two hundred seven million, six hundred sixty-two thousand, eighty".