87298041600 has 1296 divisors, whose sum is σ = 404089969920. Its totient is φ = 18139852800.

The previous prime is 87298041511. The next prime is 87298041619. The reversal of 87298041600 is 614089278.

It is a tau number, because it is divible by the number of its divisors (1296).

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 143 ways as a sum of consecutive naturals, for example, 7936185595 + ... + 7936185605.

Almost surely, 2^87298041600 is an apocalyptic number.

87298041600 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 87298041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202044984960).

87298041600 is an abundant number, since it is smaller than the sum of its proper divisors (316791928320).

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

87298041600 is an frugal number, since it uses more digits than its factorization.

87298041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 87298041600 in words is "eighty-seven billion, two hundred ninety-eight million, forty-one thousand, six hundred".