87226891200 has 1176 divisors, whose sum is σ = 351342856368. Its totient is φ = 21220392960.

The previous prime is 87226891189. The next prime is 87226891201. The reversal of 87226891200 is 219862278.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87226891201) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1050926359 + ... + 1050926441.

Almost surely, 2^87226891200 is an apocalyptic number.

87226891200 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 87226891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175671428184).

87226891200 is an abundant number, since it is smaller than the sum of its proper divisors (264115965168).

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

87226891200 is a wasteful number, since it uses less digits than its factorization.

87226891200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 163 counting only the distinct ones).

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

The spelling of 87226891200 in words is "eighty-seven billion, two hundred twenty-six million, eight hundred ninety-one thousand, two hundred".