10172586963840 has 256 divisors, whose sum is σ = 37072544901120. Its totient is φ = 2324205010944.

The previous prime is 10172586963839. The next prime is 10172586963841. The reversal of 10172586963840 is 4836968527101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10172586963839) and next prime (10172586963841).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172586963841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32733024 + ... + 33042336.

It is an arithmetic number, because the mean of its divisors is an integer number (144814628520).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10172586963840 = 20345173927680, but 3⋅10172586963840 = 30517760891520 is not.

Almost surely, 2^{10172586963840} is an apocalyptic number.

10172586963840 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 10172586963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18536272450560).

10172586963840 is an abundant number, since it is smaller than the sum of its proper divisors (26899957937280).

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

10172586963840 is a wasteful number, since it uses less digits than its factorization.

10172586963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311789 (or 311777 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 10172586963840 in words is "ten trillion, one hundred seventy-two billion, five hundred eighty-six million, nine hundred sixty-three thousand, eight hundred forty".