10617027133440 has 2304 divisors, whose sum is σ = 45730385913600. Its totient is φ = 2053719982080.

The previous prime is 10617027133417. The next prime is 10617027133451. The reversal of 10617027133440 is 4433172071601.

It is a super-2 number, since 2×10617027133440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 342484746225 + ... + 342484746255.

It is an arithmetic number, because the mean of its divisors is an integer number (19848257775).

Almost surely, 2^{10617027133440} is an apocalyptic number.

10617027133440 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 10617027133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22865192956800).

10617027133440 is an abundant number, since it is smaller than the sum of its proper divisors (35113358780160).

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

10617027133440 is an equidigital number, since it uses as much as digits as its factorization.

10617027133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10617027133440 in words is "ten trillion, six hundred seventeen billion, twenty-seven million, one hundred thirty-three thousand, four hundred forty".