87458006361600 has 2520 divisors, whose sum is σ = 391964163156720. Its totient is φ = 18933169029120.

The previous prime is 87458006361563. The next prime is 87458006361613. The reversal of 87458006361600 is 616360085478.

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 23579940546 + ... + 23579944254.

It is an arithmetic number, because the mean of its divisors is an integer number (155541334586).

Almost surely, 2^{87458006361600} is an apocalyptic number.

87458006361600 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 87458006361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195982081578360).

87458006361600 is an abundant number, since it is smaller than the sum of its proper divisors (304506156795120).

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

87458006361600 is an equidigital number, since it uses as much as digits as its factorization.

87458006361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 87458006361600 in words is "eighty-seven trillion, four hundred fifty-eight billion, six million, three hundred sixty-one thousand, six hundred".