22554051379200 has 2304 divisors, whose sum is σ = 92431201524480. Its totient is φ = 5209325568000.

The previous prime is 22554051379199. The next prime is 22554051379229. The reversal of 22554051379200 is 297315045522.

22554051379200 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 40 + 513 + 7 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 232515993552 + ... + 232515993648.

It is an arithmetic number, because the mean of its divisors is an integer number (40117708995).

Almost surely, 2^{22554051379200} is an apocalyptic number.

22554051379200 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 22554051379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46215600762240).

22554051379200 is an abundant number, since it is smaller than the sum of its proper divisors (69877150145280).

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

22554051379200 is a wasteful number, since it uses less digits than its factorization.

22554051379200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 22554051379200 in words is "twenty-two trillion, five hundred fifty-four billion, fifty-one million, three hundred seventy-nine thousand, two hundred".