87237349056000 has 5120 divisors, whose sum is σ = 422366366822400. Its totient is φ = 17390370816000.

The previous prime is 87237349055971. The next prime is 87237349056103. The reversal of 87237349056000 is 65094373278.

87237349056000 is a `hidden beast` number, since 8 + 7 + 2 + 3 + 73 + 4 + 9 + 0 + 560 + 0 + 0 = 666.

It is a super-2 number, since 2×87237349056000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 79814591454 + ... + 79814592546.

It is an arithmetic number, because the mean of its divisors is an integer number (82493431020).

Almost surely, 2^{87237349056000} is an apocalyptic number.

87237349056000 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 87237349056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211183183411200).

87237349056000 is an abundant number, since it is smaller than the sum of its proper divisors (335129017766400).

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

87237349056000 is a wasteful number, since it uses less digits than its factorization.

87237349056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 87237349056000 in words is "eighty-seven trillion, two hundred thirty-seven billion, three hundred forty-nine million, fifty-six thousand".