87125781600 has 1152 divisors, whose sum is σ = 376610895360. Its totient is φ = 19160064000.

The previous prime is 87125781599. The next prime is 87125781623. The reversal of 87125781600 is 618752178.

It is a happy number.

87125781600 is a `hidden beast` number, since 8 + 7 + 12 + 578 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 206949390 + ... + 206949810.

It is an arithmetic number, because the mean of its divisors is an integer number (326919180).

Almost surely, 2^87125781600 is an apocalyptic number.

87125781600 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 87125781600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188305447680).

87125781600 is an abundant number, since it is smaller than the sum of its proper divisors (289485113760).

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

87125781600 is a wasteful number, since it uses less digits than its factorization.

87125781600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

It can be divided in two parts, 8712578 and 1600, that added together give a palindrome (8714178).

The spelling of 87125781600 in words is "eighty-seven billion, one hundred twenty-five million, seven hundred eighty-one thousand, six hundred".