87870581606400 has 288 divisors, whose sum is σ = 292577697266400. Its totient is φ = 23263572787200.

The previous prime is 87870581606393. The next prime is 87870581606413. The reversal of 87870581606400 is 460618507878.

It is a happy number.

It is a super-2 number, since 2×87870581606400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19292580 + ... + 23408220.

It is an arithmetic number, because the mean of its divisors is an integer number (1015894782175).

Almost surely, 2^{87870581606400} is an apocalyptic number.

87870581606400 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 87870581606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146288848633200).

87870581606400 is an abundant number, since it is smaller than the sum of its proper divisors (204707115660000).

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

87870581606400 is a wasteful number, since it uses less digits than its factorization.

87870581606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115815 (or 4115790 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 60.

The spelling of 87870581606400 in words is "eighty-seven trillion, eight hundred seventy billion, five hundred eighty-one million, six hundred six thousand, four hundred".