6556354266000 has 1280 divisors, whose sum is σ = 28138370457600. Its totient is φ = 1282034688000.

The previous prime is 6556354265959. The next prime is 6556354266031. The reversal of 6556354266000 is 6624536556.

It is a super-2 number, since 2×6556354266000² (a number of 26 digits) contains 22 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 950330551 + ... + 950337449.

It is an arithmetic number, because the mean of its divisors is an integer number (21983101920).

Almost surely, 2^{6556354266000} is an apocalyptic number.

6556354266000 is a gapful number since it is divisible by the number (60) 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 6556354266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069185228800).

6556354266000 is an abundant number, since it is smaller than the sum of its proper divisors (21582016191600).

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

6556354266000 is a wasteful number, since it uses less digits than its factorization.

6556354266000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6982 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 48.

The spelling of 6556354266000 in words is "six trillion, five hundred fifty-six billion, three hundred fifty-four million, two hundred sixty-six thousand".