22156521121440 has 576 divisors, whose sum is σ = 79771346194176. Its totient is φ = 5588941602816.

The previous prime is 22156521121409. The next prime is 22156521121477. The reversal of 22156521121440 is 4412112565122.

22156521121440 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 6 + 521 + 121 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×22156521121440² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22156521121395 and 22156521121404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7186674139 + ... + 7186677221.

It is an arithmetic number, because the mean of its divisors is an integer number (138491920476).

Almost surely, 2^{22156521121440} is an apocalyptic number.

22156521121440 is a gapful number since it is divisible by the number (20) 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 22156521121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39885673097088).

22156521121440 is an abundant number, since it is smaller than the sum of its proper divisors (57614825072736).

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

22156521121440 is a wasteful number, since it uses less digits than its factorization.

22156521121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5461 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 22156521121440 its reverse (4412112565122), we get a palindrome (26568633686562).

The spelling of 22156521121440 in words is "twenty-two trillion, one hundred fifty-six billion, five hundred twenty-one million, one hundred twenty-one thousand, four hundred forty".