7785260421120 has 3328 divisors, whose sum is σ = 38046081024000. Its totient is φ = 1461555560448.

The previous prime is 7785260421083. The next prime is 7785260421149. The reversal of 7785260421120 is 211240625877.

7785260421120 is a `hidden beast` number, since 7 + 7 + 8 + 5 + 2 + 604 + 2 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3328).

It is a super-2 number, since 2×7785260421120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16253153041 + ... + 16253153519.

Almost surely, 2^{7785260421120} is an apocalyptic number.

7785260421120 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 7785260421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19023040512000).

7785260421120 is an abundant number, since it is smaller than the sum of its proper divisors (30260820602880).

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

7785260421120 is a wasteful number, since it uses less digits than its factorization.

7785260421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 7785260421120 in words is "seven trillion, seven hundred eighty-five billion, two hundred sixty million, four hundred twenty-one thousand, one hundred twenty".