87390576000 has 2304 divisors, whose sum is σ = 423972057600. Its totient is φ = 17468006400.

The previous prime is 87390575999. The next prime is 87390576001. The reversal of 87390576000 is 67509378.

It is a happy number.

87390576000 is a `hidden beast` number, since 8 + 7 + 39 + 0 + 5 + 7 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87390575999) and next prime (87390576001).

It is a super-2 number, since 2×87390576000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87390576001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4599503991 + ... + 4599504009.

It is an arithmetic number, because the mean of its divisors is an integer number (184015650).

Almost surely, 2^87390576000 is an apocalyptic number.

87390576000 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 87390576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211986028800).

87390576000 is an abundant number, since it is smaller than the sum of its proper divisors (336581481600).

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

87390576000 is a wasteful number, since it uses less digits than its factorization.

87390576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 87390576000 in words is "eighty-seven billion, three hundred ninety million, five hundred seventy-six thousand".