7505867980800 has 2700 divisors, whose sum is σ = 34188372168720. Its totient is φ = 1625330810880.

The previous prime is 7505867980789. The next prime is 7505867980843. The reversal of 7505867980800 is 80897685057.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 395045683191 + ... + 395045683209.

Almost surely, 2^{7505867980800} is an apocalyptic number.

7505867980800 is a gapful number since it is divisible by the number (70) 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 7505867980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094186084360).

7505867980800 is an abundant number, since it is smaller than the sum of its proper divisors (26682504187920).

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

7505867980800 is an frugal number, since it uses more digits than its factorization.

7505867980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 7505867980800 in words is "seven trillion, five hundred five billion, eight hundred sixty-seven million, nine hundred eighty thousand, eight hundred".