87707548051200 has 4320 divisors, whose sum is σ = 427348519944192. Its totient is φ = 17207562240000.

The previous prime is 87707548051181. The next prime is 87707548051217. The reversal of 87707548051200 is 215084570778.

87707548051200 is a `hidden beast` number, since 8 + 7 + 70 + 7 + 54 + 8 + 0 + 512 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×87707548051200² (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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 76201170625 + ... + 76201171775.

Almost surely, 2^{87707548051200} is an apocalyptic number.

87707548051200 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 87707548051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213674259972096).

87707548051200 is an abundant number, since it is smaller than the sum of its proper divisors (339640971892992).

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

87707548051200 is a wasteful number, since it uses less digits than its factorization.

87707548051200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 54.

The spelling of 87707548051200 in words is "eighty-seven trillion, seven hundred seven billion, five hundred forty-eight million, fifty-one thousand, two hundred".