87226621440 has 640 divisors, whose sum is σ = 330308858880. Its totient is φ = 19223543808.

The previous prime is 87226621403. The next prime is 87226621441. The reversal of 87226621440 is 4412662278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 87226621392 and 87226621401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87226621441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224232766 + ... + 224233154.

It is an arithmetic number, because the mean of its divisors is an integer number (516107592).

Almost surely, 2^87226621440 is an apocalyptic number.

87226621440 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 87226621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165154429440).

87226621440 is an abundant number, since it is smaller than the sum of its proper divisors (243082237440).

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

87226621440 is a wasteful number, since it uses less digits than its factorization.

87226621440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 87226621440 in words is "eighty-seven billion, two hundred twenty-six million, six hundred twenty-one thousand, four hundred forty".