87491429475840 has 960 divisors, whose sum is σ = 349318634176512. Its totient is φ = 20841571123200.

The previous prime is 87491429475811. The next prime is 87491429475841. The reversal of 87491429475840 is 4857492419478.

87491429475840 is a `hidden beast` number, since 8 + 7 + 4 + 9 + 14 + 29 + 4 + 7 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87491429475841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250523745 + ... + 250872735.

Almost surely, 2^{87491429475840} is an apocalyptic number.

87491429475840 is a gapful number since it is divisible by the number (80) 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 87491429475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174659317088256).

87491429475840 is an abundant number, since it is smaller than the sum of its proper divisors (261827204700672).

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

87491429475840 is a wasteful number, since it uses less digits than its factorization.

87491429475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349073 (or 349045 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 87491429475840 in words is "eighty-seven trillion, four hundred ninety-one billion, four hundred twenty-nine million, four hundred seventy-five thousand, eight hundred forty".