15222778956000 has 1536 divisors, whose sum is σ = 69289758720000. Its totient is φ = 3153745152000.

The previous prime is 15222778955981. The next prime is 15222778956001. The reversal of 15222778956000 is 65987722251.

15222778956000 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 2 + 7 + 78 + 9 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15222778956001) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2985441451 + ... + 2985446549.

It is an arithmetic number, because the mean of its divisors is an integer number (45110520000).

Almost surely, 2^{15222778956000} is an apocalyptic number.

15222778956000 is a gapful number since it is divisible by the number (10) 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 15222778956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34644879360000).

15222778956000 is an abundant number, since it is smaller than the sum of its proper divisors (54066979764000).

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

15222778956000 is a wasteful number, since it uses less digits than its factorization.

15222778956000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5510 (or 5486 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 15222778956000 in words is "fifteen trillion, two hundred twenty-two billion, seven hundred seventy-eight million, nine hundred fifty-six thousand".