1261068480000 has 1600 divisors, whose sum is σ = 5522432256000. Its totient is φ = 277917696000.

The previous prime is 1261068479999. The next prime is 1261068480011. The reversal of 1261068480000 is 848601621.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×1261068480000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1753919641 + ... + 1753920359.

It is an arithmetic number, because the mean of its divisors is an integer number (3451520160).

Almost surely, 2^{1261068480000} is an apocalyptic number.

1261068480000 is a gapful number since it is divisible by the number (10) 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 1261068480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761216128000).

1261068480000 is an abundant number, since it is smaller than the sum of its proper divisors (4261363776000).

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

1261068480000 is an frugal number, since it uses more digits than its factorization.

1261068480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 1261068480000 in words is "one trillion, two hundred sixty-one billion, sixty-eight million, four hundred eighty thousand".