87058022400 has 630 divisors, whose sum is σ = 330389362842. Its totient is φ = 22649241600.

The previous prime is 87058022299. The next prime is 87058022437. The reversal of 87058022400 is 422085078.

It is a happy number.

87058022400 is a `hidden beast` number, since 8 + 70 + 580 + 2 + 2 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 84934656 + 86973087744 = 9216^2 + 294912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2123366380 + ... + 2123366420.

Almost surely, 2^87058022400 is an apocalyptic number.

87058022400 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 87058022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165194681421).

87058022400 is an abundant number, since it is smaller than the sum of its proper divisors (243331340442).

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

87058022400 is an frugal number, since it uses more digits than its factorization.

87058022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 87058022400 in words is "eighty-seven billion, fifty-eight million, twenty-two thousand, four hundred".