87523530048000 has 3200 divisors, whose sum is σ = 357559676787456. Its totient is φ = 21284093952000.

The previous prime is 87523530047999. The next prime is 87523530048001. The reversal of 87523530048000 is 84003532578.

87523530048000 is a `hidden beast` number, since 8 + 75 + 2 + 3 + 530 + 0 + 48 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (87523530047999) and next prime (87523530048001).

It is a tau number, because it is divible by the number of its divisors (3200).

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 (87523530048001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1306321343967 + ... + 1306321344033.

Almost surely, 2^{87523530048000} is an apocalyptic number.

87523530048000 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 87523530048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178779838393728).

87523530048000 is an abundant number, since it is smaller than the sum of its proper divisors (270036146739456).

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

87523530048000 is an frugal number, since it uses more digits than its factorization.

87523530048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 87523530048000 in words is "eighty-seven trillion, five hundred twenty-three billion, five hundred thirty million, forty-eight thousand".