2026798550400 has 768 divisors, whose sum is σ = 7622312140800. Its totient is φ = 469728460800.

The previous prime is 2026798550311. The next prime is 2026798550407. The reversal of 2026798550400 is 40558976202.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2026798550400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2026798550407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143138521 + ... + 143152679.

It is an arithmetic number, because the mean of its divisors is an integer number (9924885600).

Almost surely, 2^{2026798550400} is an apocalyptic number.

2026798550400 is a gapful number since it is divisible by the number (20) 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 2026798550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811156070400).

2026798550400 is an abundant number, since it is smaller than the sum of its proper divisors (5595513590400).

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

2026798550400 is a wasteful number, since it uses less digits than its factorization.

2026798550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14267 (or 14250 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 2026798550400 in words is "two trillion, twenty-six billion, seven hundred ninety-eight million, five hundred fifty thousand, four hundred".