87418638613572 has 192 divisors, whose sum is σ = 238922762158080. Its totient is φ = 24361338268800.

The previous prime is 87418638613547. The next prime is 87418638613721. The reversal of 87418638613572 is 27531683681478.

It is a junction number, because it is equal to n+sod(n) for n = 87418638613497 and 87418638613506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4759539933 + ... + 4759558299.

It is an arithmetic number, because the mean of its divisors is an integer number (1244389386240).

Almost surely, 2^{87418638613572} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87418638613572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119461381079040).

87418638613572 is an abundant number, since it is smaller than the sum of its proper divisors (151504123544508).

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

87418638613572 is a wasteful number, since it uses less digits than its factorization.

87418638613572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25902 (or 25900 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 69.

The spelling of 87418638613572 in words is "eighty-seven trillion, four hundred eighteen billion, six hundred thirty-eight million, six hundred thirteen thousand, five hundred seventy-two".