1026512372736 has 264 divisors, whose sum is σ = 3102093234240. Its totient is φ = 339022651392.

The previous prime is 1026512372689. The next prime is 1026512372771. The reversal of 1026512372736 is 6372732156201.

1026512372736 is a `hidden beast` number, since 1 + 0 + 265 + 12 + 372 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×1026512372736² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1026512372691 and 1026512372700.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27103765 + ... + 27141611.

It is an arithmetic number, because the mean of its divisors is an integer number (11750353160).

Almost surely, 2^{1026512372736} is an apocalyptic number.

1026512372736 is a gapful number since it is divisible by the number (16) 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 1026512372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551046617120).

1026512372736 is an abundant number, since it is smaller than the sum of its proper divisors (2075580861504).

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

1026512372736 is an equidigital number, since it uses as much as digits as its factorization.

1026512372736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37991 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 1026512372736 in words is "one trillion, twenty-six billion, five hundred twelve million, three hundred seventy-two thousand, seven hundred thirty-six".