168996702551040 has 8448 divisors, whose sum is σ = 848691309312000. Its totient is φ = 31856483893248.

The previous prime is 168996702551029. The next prime is 168996702551071. The reversal of 168996702551040 is 40155207699861.

168996702551040 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 9 + 6 + 70 + 2 + 5 + 510 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 3930155873259 + ... + 3930155873301.

It is an arithmetic number, because the mean of its divisors is an integer number (100460619000).

Almost surely, 2^{168996702551040} is an apocalyptic number.

168996702551040 is a gapful number since it is divisible by the number (10) 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 168996702551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424345654656000).

168996702551040 is an abundant number, since it is smaller than the sum of its proper divisors (679694606760960).

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

168996702551040 is a wasteful number, since it uses less digits than its factorization.

168996702551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 168996702551040 in words is "one hundred sixty-eight trillion, nine hundred ninety-six billion, seven hundred two million, five hundred fifty-one thousand, forty".