36851429889792 has 1152 divisors, whose sum is σ = 136857318348800. Its totient is φ = 9545593651200.

The previous prime is 36851429889787. The next prime is 36851429889823. The reversal of 36851429889792 is 29798892415863.

36851429889792 is a `hidden beast` number, since 3 + 6 + 8 + 514 + 2 + 9 + 8 + 8 + 9 + 7 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2074842192 + ... + 2074859952.

Almost surely, 2^{36851429889792} is an apocalyptic number.

36851429889792 is a gapful number since it is divisible by the number (32) 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 36851429889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68428659174400).

36851429889792 is an abundant number, since it is smaller than the sum of its proper divisors (100005888459008).

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

36851429889792 is a wasteful number, since it uses less digits than its factorization.

36851429889792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17910 (or 17890 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 81.

The spelling of 36851429889792 in words is "thirty-six trillion, eight hundred fifty-one billion, four hundred twenty-nine million, eight hundred eighty-nine thousand, seven hundred ninety-two".