7261167255552 has 960 divisors, whose sum is σ = 26063833625280. Its totient is φ = 2006581248000.

The previous prime is 7261167255547. The next prime is 7261167255569. The reversal of 7261167255552 is 2555527611627.

7261167255552 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 1 + 67 + 25 + 5 + 552 = 666.

It is a super-3 number, since 3×7261167255552³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4031741052 + ... + 4031742852.

It is an arithmetic number, because the mean of its divisors is an integer number (27149826693).

Almost surely, 2^{7261167255552} is an apocalyptic number.

7261167255552 is a gapful number since it is divisible by the number (72) 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 7261167255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13031916812640).

7261167255552 is an abundant number, since it is smaller than the sum of its proper divisors (18802666369728).

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

7261167255552 is an equidigital number, since it uses as much as digits as its factorization.

7261167255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1844 counting only the distinct ones).

The product of its digits is 8820000, while the sum is 54.

The spelling of 7261167255552 in words is "seven trillion, two hundred sixty-one billion, one hundred sixty-seven million, two hundred fifty-five thousand, five hundred fifty-two".