35551672073472 has 144 divisors (see below), whose sum is σ = 95008220600832. Its totient is φ = 11801912186880.

The previous prime is 35551672073447. The next prime is 35551672073509. The reversal of 35551672073472 is 27437027615553.

It is a happy number.

It is a super-2 number, since 2×35551672073472² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279802597 + ... + 279929627.

It is an arithmetic number, because the mean of its divisors is an integer number (659779309728).

Almost surely, 2^{35551672073472} is an apocalyptic number.

35551672073472 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 35551672073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47504110300416).

35551672073472 is an abundant number, since it is smaller than the sum of its proper divisors (59456548527360).

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

35551672073472 is a wasteful number, since it uses less digits than its factorization.

35551672073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128544 (or 128530 counting only the distinct ones).

The product of its (nonzero) digits is 37044000, while the sum is 57.

The spelling of 35551672073472 in words is "thirty-five trillion, five hundred fifty-one billion, six hundred seventy-two million, seventy-three thousand, four hundred seventy-two".