22151523738240 has 1536 divisors, whose sum is σ = 87175177689600. Its totient is φ = 5311562121216.

The previous prime is 22151523738217. The next prime is 22151523738247. The reversal of 22151523738240 is 4283732515122.

22151523738240 is a `hidden beast` number, since 2 + 2 + 1 + 5 + 1 + 523 + 7 + 3 + 82 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22151523738247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25847751892 + ... + 25847752748.

It is an arithmetic number, because the mean of its divisors is an integer number (56754672975).

Almost surely, 2^{22151523738240} is an apocalyptic number.

22151523738240 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 22151523738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43587588844800).

22151523738240 is an abundant number, since it is smaller than the sum of its proper divisors (65023653951360).

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

22151523738240 is a wasteful number, since it uses less digits than its factorization.

22151523738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 22151523738240 in words is "twenty-two trillion, one hundred fifty-one billion, five hundred twenty-three million, seven hundred thirty-eight thousand, two hundred forty".