87155726326272 has 800 divisors, whose sum is σ = 270778071375504. Its totient is φ = 27888294297600.

The previous prime is 87155726326241. The next prime is 87155726326301. The reversal of 87155726326272 is 27262362755178.

87155726326272 is a `hidden beast` number, since 8 + 7 + 1 + 5 + 572 + 6 + 32 + 6 + 27 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10424012933376 + 76731713392896 = 3228624^2 + 8759664^2 .

It is a super-2 number, since 2×87155726326272² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 98928179272 + ... + 98928180152.

Almost surely, 2^{87155726326272} is an apocalyptic number.

87155726326272 is a gapful number since it is divisible by the number (82) 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 87155726326272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135389035687752).

87155726326272 is an abundant number, since it is smaller than the sum of its proper divisors (183622345049232).

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

87155726326272 is an equidigital number, since it uses as much as digits as its factorization.

87155726326272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1797 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 63.

The spelling of 87155726326272 in words is "eighty-seven trillion, one hundred fifty-five billion, seven hundred twenty-six million, three hundred twenty-six thousand, two hundred seventy-two".