36871005622500 has 405 divisors, whose sum is σ = 135502956620031. Its totient is φ = 8426201112000.

The previous prime is 36871005622489. The next prime is 36871005622537. The reversal of 36871005622500 is 522650017863.

The square root of 36871005622500 is 6072150.

It is a perfect power (a square), and thus also a powerful number.

36871005622500 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 10 + 0 + 5 + 622 + 5 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2890686840804 + 33980318781696 = 1700202^2 + 5829264^2 .

It is a super-2 number, since 2×36871005622500² (a number of 28 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 134 ways as a sum of consecutive naturals, for example, 6375754609 + ... + 6375760391.

Almost surely, 2^{36871005622500} is an apocalyptic number.

36871005622500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

36871005622500 is the 6072150-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36871005622500

36871005622500 is an abundant number, since it is smaller than the sum of its proper divisors (98631950997531).

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

36871005622500 is an frugal number, since it uses more digits than its factorization.

36871005622500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11610 (or 5800 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 36871005622500 in words is "thirty-six trillion, eight hundred seventy-one billion, five million, six hundred twenty-two thousand, five hundred".