35512449673920 has 896 divisors, whose sum is σ = 123064464015360. Its totient is φ = 8652779520000.

The previous prime is 35512449673903. The next prime is 35512449673931. The reversal of 35512449673920 is 2937694421553.

It is a happy number.

It is a super-2 number, since 2×35512449673920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 9705505051 + ... + 9705508709.

It is an arithmetic number, because the mean of its divisors is an integer number (137348732160).

Almost surely, 2^{35512449673920} is an apocalyptic number.

35512449673920 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 35512449673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61532232007680).

35512449673920 is an abundant number, since it is smaller than the sum of its proper divisors (87552014341440).

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

35512449673920 is a wasteful number, since it uses less digits than its factorization.

35512449673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3965 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 35512449673920 in words is "thirty-five trillion, five hundred twelve billion, four hundred forty-nine million, six hundred seventy-three thousand, nine hundred twenty".