87325001400 has 768 divisors, whose sum is σ = 342838056960. Its totient is φ = 17899315200.

The previous prime is 87325001383. The next prime is 87325001419. The reversal of 87325001400 is 410052378.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 522904117 + ... + 522904283.

It is an arithmetic number, because the mean of its divisors is an integer number (446403720).

Almost surely, 2^87325001400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87325001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171419028480).

87325001400 is an abundant number, since it is smaller than the sum of its proper divisors (255513055560).

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

87325001400 is a wasteful number, since it uses less digits than its factorization.

87325001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

Adding to 87325001400 its reverse (410052378), we get a palindrome (87735053778).

The spelling of 87325001400 in words is "eighty-seven billion, three hundred twenty-five million, one thousand, four hundred".