87990778515600 has 945 divisors, whose sum is σ = 328806947825083. Its totient is φ = 22617275466240.

The previous prime is 87990778515589. The next prime is 87990778515697. The reversal of 87990778515600 is 651587709978.

The square root of 87990778515600 is 9380340.

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

87990778515600 is a `hidden beast` number, since 8 + 7 + 9 + 9 + 0 + 7 + 7 + 8 + 5 + 1 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1209480855696 + 86781297659904 = 1099764^2 + 9315648^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 146896124101 + ... + 146896124699.

Almost surely, 2^{87990778515600} is an apocalyptic number.

87990778515600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87990778515600 is the 9380340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87990778515600

87990778515600 is an abundant number, since it is smaller than the sum of its proper divisors (240816169309483).

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

87990778515600 is an frugal number, since it uses more digits than its factorization.

87990778515600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 87990778515600 in words is "eighty-seven trillion, nine hundred ninety billion, seven hundred seventy-eight million, five hundred fifteen thousand, six hundred".