36054979200 has 576 divisors, whose sum is σ = 134663256000. Its totient is φ = 9525288960.

The previous prime is 36054979171. The next prime is 36054979201. The reversal of 36054979200 is 297945063.

It is a happy number.

36054979200 is a `hidden beast` number, since 36 + 0 + 549 + 79 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×36054979200² (a number of 22 digits) contains 22 as substring.

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 (36054979201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154742284 + ... + 154742516.

It is an arithmetic number, because the mean of its divisors is an integer number (233790375).

Almost surely, 2^36054979200 is an apocalyptic number.

36054979200 is a gapful number since it is divisible by the number (30) 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 36054979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67331628000).

36054979200 is an abundant number, since it is smaller than the sum of its proper divisors (98608276800).

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

36054979200 is a wasteful number, since it uses less digits than its factorization.

36054979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 36054979200 in words is "thirty-six billion, fifty-four million, nine hundred seventy-nine thousand, two hundred".