87140261833920 has 224 divisors, whose sum is σ = 307716179486400. Its totient is φ = 23214370701312.

The previous prime is 87140261833901. The next prime is 87140261833949. The reversal of 87140261833920 is 2933816204178.

It is a happy number.

87140261833920 is a `hidden beast` number, since 8 + 7 + 1 + 40 + 261 + 8 + 339 + 2 + 0 = 666.

It is a super-3 number, since 3×87140261833920³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3719902 + ... + 13715618.

Almost surely, 2^{87140261833920} is an apocalyptic number.

87140261833920 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 87140261833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153858089743200).

87140261833920 is an abundant number, since it is smaller than the sum of its proper divisors (220575917652480).

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

87140261833920 is a wasteful number, since it uses less digits than its factorization.

87140261833920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996752 (or 9996736 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 87140261833920 in words is "eighty-seven trillion, one hundred forty billion, two hundred sixty-one million, eight hundred thirty-three thousand, nine hundred twenty".