87754552707600 has 675 divisors, whose sum is σ = 319878751643319. Its totient is φ = 23040143884800.

The previous prime is 87754552707559. The next prime is 87754552707677. The reversal of 87754552707600 is 670725545778.

It is a happy number.

The square root of 87754552707600 is 9367740.

It is a perfect power (a square), and thus also a powerful number.

87754552707600 is a `hidden beast` number, since 8 + 7 + 7 + 5 + 4 + 552 + 7 + 0 + 76 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19847987291664 + 67906565415936 = 4455108^2 + 8240544^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 119719716834 + ... + 119719717566.

Almost surely, 2^{87754552707600} is an apocalyptic number.

87754552707600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87754552707600 is the 9367740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87754552707600

87754552707600 is an abundant number, since it is smaller than the sum of its proper divisors (232124198935719).

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

87754552707600 is an frugal number, since it uses more digits than its factorization.

87754552707600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 115248000, while the sum is 63.

The spelling of 87754552707600 in words is "eighty-seven trillion, seven hundred fifty-four billion, five hundred fifty-two million, seven hundred seven thousand, six hundred".