11357166643200 has 2304 divisors, whose sum is σ = 50592761856000. Its totient is φ = 2439429488640.

The previous prime is 11357166643189. The next prime is 11357166643267. The reversal of 11357166643200 is 234666175311.

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

It is a super-2 number, since 2×11357166643200² (a number of 27 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 41000601462 + ... + 41000601738.

It is an arithmetic number, because the mean of its divisors is an integer number (21958664000).

Almost surely, 2^{11357166643200} is an apocalyptic number.

11357166643200 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 11357166643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25296380928000).

11357166643200 is an abundant number, since it is smaller than the sum of its proper divisors (39235595212800).

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

11357166643200 is a wasteful number, since it uses less digits than its factorization.

11357166643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 11357166643200 in words is "eleven trillion, three hundred fifty-seven billion, one hundred sixty-six million, six hundred forty-three thousand, two hundred".