1026665715504 has 240 divisors, whose sum is σ = 3324180426336. Its totient is φ = 270285987840.

The previous prime is 1026665715499. The next prime is 1026665715583. The reversal of 1026665715504 is 4055175666201.

It is a super-4 number, since 4×1026665715504⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883642 + ... + 1683494.

Almost surely, 2^{1026665715504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1026665715504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662090213168).

1026665715504 is an abundant number, since it is smaller than the sum of its proper divisors (2297514710832).

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

1026665715504 is a wasteful number, since it uses less digits than its factorization.

1026665715504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799916 (or 799899 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 48.

The spelling of 1026665715504 in words is "one trillion, twenty-six billion, six hundred sixty-five million, seven hundred fifteen thousand, five hundred four".