87626757242880 has 2176 divisors, whose sum is σ = 347889696768000. Its totient is φ = 20840699658240.

The previous prime is 87626757242879. The next prime is 87626757242887. The reversal of 87626757242880 is 8824275762678.

It is a happy number.

87626757242880 is a `hidden beast` number, since 8 + 7 + 6 + 2 + 6 + 7 + 572 + 42 + 8 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 87626757242799 and 87626757242808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87626757242887) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182936862481 + ... + 182936862959.

Almost surely, 2^{87626757242880} is an apocalyptic number.

87626757242880 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 87626757242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173944848384000).

87626757242880 is an abundant number, since it is smaller than the sum of its proper divisors (260262939525120).

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

87626757242880 is a wasteful number, since it uses less digits than its factorization.

87626757242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 1011548160, while the sum is 72.

The spelling of 87626757242880 in words is "eighty-seven trillion, six hundred twenty-six billion, seven hundred fifty-seven million, two hundred forty-two thousand, eight hundred eighty".