87491960325 has 192 divisors, whose sum is σ = 209100902400. Its totient is φ = 34778937600.

The previous prime is 87491960299. The next prime is 87491960357. The reversal of 87491960325 is 52306919478.

87491960325 is a `hidden beast` number, since 8 + 7 + 4 + 9 + 1 + 9 + 603 + 25 = 666.

It is not a de Polignac number, because 87491960325 - 2⁶ = 87491960261 is a prime.

It is a super-2 number, since 2×87491960325² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1158831 + ... + 1232019.

It is an arithmetic number, because the mean of its divisors is an integer number (1089067200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅87491960325 = 174983920650, but 3⋅87491960325 = 262475880975 is not.

Almost surely, 2^87491960325 is an apocalyptic number.

87491960325 is the 170775-th octagonal number.

It is an amenable number.

87491960325 is an abundant number, since it is smaller than the sum of its proper divisors (121608942075).

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

87491960325 is a wasteful number, since it uses less digits than its factorization.

87491960325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73249 (or 73238 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 87491960325 in words is "eighty-seven billion, four hundred ninety-one million, nine hundred sixty thousand, three hundred twenty-five".