10671487725888 has 280 divisors, whose sum is σ = 34757712491040. Its totient is φ = 3210517140480.

The previous prime is 10671487725883. The next prime is 10671487725929. The reversal of 10671487725888 is 88852778417601.

10671487725888 is a `hidden beast` number, since 1 + 0 + 6 + 71 + 487 + 72 + 5 + 8 + 8 + 8 = 666.

It is a super-2 number, since 2×10671487725888² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10671487725881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7253170 + ... + 8599502.

It is an arithmetic number, because the mean of its divisors is an integer number (124134687468).

Almost surely, 2^{10671487725888} is an apocalyptic number.

10671487725888 is a gapful number since it is divisible by the number (18) 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 10671487725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17378856245520).

10671487725888 is an abundant number, since it is smaller than the sum of its proper divisors (24086224765152).

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

10671487725888 is a wasteful number, since it uses less digits than its factorization.

10671487725888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346507 (or 1346488 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 72.

The spelling of 10671487725888 in words is "ten trillion, six hundred seventy-one billion, four hundred eighty-seven million, seven hundred twenty-five thousand, eight hundred eighty-eight".