87743152224000 has 2592 divisors, whose sum is σ = 396762174192384. Its totient is φ = 18454973644800.

The previous prime is 87743152223981. The next prime is 87743152224017. The reversal of 87743152224000 is 42225134778.

87743152224000 is a `hidden beast` number, since 8 + 7 + 7 + 4 + 3 + 15 + 222 + 400 + 0 = 666.

It is a super-2 number, since 2×87743152224000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 84940127484 + ... + 84940128516.

Almost surely, 2^{87743152224000} is an apocalyptic number.

87743152224000 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 87743152224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198381087096192).

87743152224000 is an abundant number, since it is smaller than the sum of its proper divisors (309019021968384).

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

87743152224000 is a wasteful number, since it uses less digits than its factorization.

87743152224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

Adding to 87743152224000 its reverse (42225134778), we get a palindrome (87785377358778).

The spelling of 87743152224000 in words is "eighty-seven trillion, seven hundred forty-three billion, one hundred fifty-two million, two hundred twenty-four thousand".