35998766496000 has 4032 divisors, whose sum is σ = 171471029184000. Its totient is φ = 7461974016000.

The previous prime is 35998766495987. The next prime is 35998766496019. The reversal of 35998766496000 is 69466789953.

35998766496000 is a `hidden beast` number, since 3 + 5 + 9 + 9 + 8 + 7 + 6 + 6 + 4 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×35998766496000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 35998766496000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 88016543796 + ... + 88016544204.

It is an arithmetic number, because the mean of its divisors is an integer number (42527537000).

Almost surely, 2^{35998766496000} is an apocalyptic number.

35998766496000 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 35998766496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85735514592000).

35998766496000 is an abundant number, since it is smaller than the sum of its proper divisors (135472262688000).

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

35998766496000 is an frugal number, since it uses more digits than its factorization.

35998766496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 529079040, while the sum is 72.

The spelling of 35998766496000 in words is "thirty-five trillion, nine hundred ninety-eight billion, seven hundred sixty-six million, four hundred ninety-six thousand".