87891474672 has 240 divisors, whose sum is σ = 275935196160. Its totient is φ = 25982719488.

The previous prime is 87891474661. The next prime is 87891474701. The reversal of 87891474672 is 27647419878.

87891474672 is a `hidden beast` number, since 8 + 7 + 8 + 91 + 474 + 6 + 72 = 666.

It is a super-2 number, since 2×87891474672² (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 47 ways as a sum of consecutive naturals, for example, 2942758 + ... + 2972474.

It is an arithmetic number, because the mean of its divisors is an integer number (1149729984).

Almost surely, 2^87891474672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87891474672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137967598080).

87891474672 is an abundant number, since it is smaller than the sum of its proper divisors (188043721488).

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

87891474672 is a wasteful number, since it uses less digits than its factorization.

87891474672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29820 (or 29811 counting only the distinct ones).

The product of its digits is 37933056, while the sum is 63.

The spelling of 87891474672 in words is "eighty-seven billion, eight hundred ninety-one million, four hundred seventy-four thousand, six hundred seventy-two".