87013200400 has 315 divisors, whose sum is σ = 249694228461. Its totient is φ = 29139304320.

The previous prime is 87013200397. The next prime is 87013200409. The reversal of 87013200400 is 400231078.

The square root of 87013200400 is 294980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 31324752144 + 55688448256 = 176988^2 + 235984^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87013200409) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2023562779 + ... + 2023562821.

Almost surely, 2^87013200400 is an apocalyptic number.

87013200400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87013200400 is the 294980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87013200400

87013200400 is an abundant number, since it is smaller than the sum of its proper divisors (162681028061).

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

87013200400 is an frugal number, since it uses more digits than its factorization.

87013200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Multiplying 87013200400 by its sum of digits (25), we get a square (2175330010000 = 1474900²).

87013200400 divided by its sum of digits (25) gives a square (3480528016 = 58996²).

Adding to 87013200400 its reverse (400231078), we get a palindrome (87413431478).

The spelling of 87013200400 in words is "eighty-seven billion, thirteen million, two hundred thousand, four hundred".