1026621535968 has 144 divisors (see below), whose sum is σ = 3366047464416. Its totient is φ = 290724618240.

The previous prime is 1026621535967. The next prime is 1026621535981. The reversal of 1026621535968 is 8695351266201.

1026621535968 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 621 + 5 + 3 + 5 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1026621535968² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026621535967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2025453 + ... + 2481068.

It is an arithmetic number, because the mean of its divisors is an integer number (23375329614).

Almost surely, 2^{1026621535968} is an apocalyptic number.

1026621535968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1026621535968 is an abundant number, since it is smaller than the sum of its proper divisors (2339425928448).

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

1026621535968 is a wasteful number, since it uses less digits than its factorization.

1026621535968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506657 (or 4506646 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1026621535968 in words is "one trillion, twenty-six billion, six hundred twenty-one million, five hundred thirty-five thousand, nine hundred sixty-eight".