87464711400 has 192 divisors, whose sum is σ = 296173454400. Its totient is φ = 21176064000.

The previous prime is 87464711387. The next prime is 87464711419. The reversal of 87464711400 is 411746478.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5331210 + ... + 5347590.

It is an arithmetic number, because the mean of its divisors is an integer number (1542570075).

Almost surely, 2^87464711400 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 87464711400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148086727200).

87464711400 is an abundant number, since it is smaller than the sum of its proper divisors (208708743000).

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

87464711400 is a wasteful number, since it uses less digits than its factorization.

87464711400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17220 (or 17211 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 87464711400 in words is "eighty-seven billion, four hundred sixty-four million, seven hundred eleven thousand, four hundred".