87027922962000 has 3200 divisors, whose sum is σ = 365024994048000. Its totient is φ = 19843655270400.

The previous prime is 87027922961989. The next prime is 87027922962007. The reversal of 87027922962000 is 26922972078.

It is a happy number.

87027922962000 is a `hidden beast` number, since 8 + 7 + 0 + 2 + 7 + 9 + 2 + 2 + 9 + 620 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87027922962007) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 152948897716 + ... + 152948898284.

It is an arithmetic number, because the mean of its divisors is an integer number (114070310640).

Almost surely, 2^{87027922962000} is an apocalyptic number.

87027922962000 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 87027922962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182512497024000).

87027922962000 is an abundant number, since it is smaller than the sum of its proper divisors (277997071086000).

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

87027922962000 is a wasteful number, since it uses less digits than its factorization.

87027922962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 87027922962000 in words is "eighty-seven trillion, twenty-seven billion, nine hundred twenty-two million, nine hundred sixty-two thousand".