1026572787072 has 640 divisors, whose sum is σ = 3694898592000. Its totient is φ = 276385665024.

The previous prime is 1026572787043. The next prime is 1026572787077. The reversal of 1026572787072 is 2707872756201.

It is a super-4 number, since 4×1026572787072⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026572787077) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 271650079 + ... + 271653857.

It is an arithmetic number, because the mean of its divisors is an integer number (5773279050).

Almost surely, 2^{1026572787072} is an apocalyptic number.

1026572787072 is a gapful number since it is divisible by the number (12) 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 1026572787072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847449296000).

1026572787072 is an abundant number, since it is smaller than the sum of its proper divisors (2668325804928).

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

1026572787072 is a wasteful number, since it uses less digits than its factorization.

1026572787072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 1026572787072 in words is "one trillion, twenty-six billion, five hundred seventy-two million, seven hundred eighty-seven thousand, seventy-two".