87649402050 has 192 divisors, whose sum is σ = 276482304000. Its totient is φ = 20001038400.

The previous prime is 87649402021. The next prime is 87649402067. The reversal of 87649402050 is 5020494678.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 87649401987 and 87649402005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5955601 + ... + 5970299.

It is an arithmetic number, because the mean of its divisors is an integer number (1440012000).

Almost surely, 2^87649402050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87649402050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138241152000).

87649402050 is an abundant number, since it is smaller than the sum of its proper divisors (188832901950).

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

87649402050 is a wasteful number, since it uses less digits than its factorization.

87649402050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15358 (or 15347 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87649402050 in words is "eighty-seven billion, six hundred forty-nine million, four hundred two thousand, fifty".