87067415400 has 768 divisors, whose sum is σ = 333510082560. Its totient is φ = 18361728000.

The previous prime is 87067415399. The next prime is 87067415473. The reversal of 87067415400 is 451476078.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 576605325 + ... + 576605475.

It is an arithmetic number, because the mean of its divisors is an integer number (434257920).

Almost surely, 2^87067415400 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 87067415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166755041280).

87067415400 is an abundant number, since it is smaller than the sum of its proper divisors (246442667160).

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

87067415400 is a wasteful number, since it uses less digits than its factorization.

87067415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 87067415400 in words is "eighty-seven billion, sixty-seven million, four hundred fifteen thousand, four hundred".