36261658540800 has 4320 divisors, whose sum is σ = 176366055849984. Its totient is φ = 7127543808000.

The previous prime is 36261658540787. The next prime is 36261658540813. The reversal of 36261658540800 is 804585616263.

36261658540800 is a `hidden beast` number, since 3 + 6 + 2 + 6 + 16 + 5 + 8 + 540 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36261658540787) and next prime (36261658540813).

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 116596972645 + ... + 116596972955.

Almost surely, 2^{36261658540800} is an apocalyptic number.

36261658540800 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 36261658540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88183027924992).

36261658540800 is an abundant number, since it is smaller than the sum of its proper divisors (140104397309184).

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

36261658540800 is a wasteful number, since it uses less digits than its factorization.

36261658540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 36261658540800 in words is "thirty-six trillion, two hundred sixty-one billion, six hundred fifty-eight million, five hundred forty thousand, eight hundred".