87870134880 has 960 divisors, whose sum is σ = 356185589760. Its totient is φ = 20205158400.

The previous prime is 87870134867. The next prime is 87870134893. The reversal of 87870134880 is 8843107878.

87870134880 is a `hidden beast` number, since 87 + 8 + 70 + 13 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87870134867) and next prime (87870134893).

It is a super-2 number, since 2×87870134880² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 260742072 + ... + 260742408.

It is an arithmetic number, because the mean of its divisors is an integer number (371026656).

Almost surely, 2^87870134880 is an apocalyptic number.

87870134880 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 87870134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178092794880).

87870134880 is an abundant number, since it is smaller than the sum of its proper divisors (268315454880).

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

87870134880 is a wasteful number, since it uses less digits than its factorization.

87870134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 87870134880 in words is "eighty-seven billion, eight hundred seventy million, one hundred thirty-four thousand, eight hundred eighty".