42953977772160 has 512 divisors, whose sum is σ = 168775087864320. Its totient is φ = 9048655134720.

The previous prime is 42953977772137. The next prime is 42953977772197. The reversal of 42953977772160 is 6127777935924.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111803754 + ... + 112187286.

It is an arithmetic number, because the mean of its divisors is an integer number (329638843485).

Almost surely, 2^{42953977772160} is an apocalyptic number.

42953977772160 is a gapful number since it is divisible by the number (40) 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 42953977772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84387543932160).

42953977772160 is an abundant number, since it is smaller than the sum of its proper divisors (125821110092160).

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

42953977772160 is a wasteful number, since it uses less digits than its factorization.

42953977772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384216 (or 384204 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 69.

The spelling of 42953977772160 in words is "forty-two trillion, nine hundred fifty-three billion, nine hundred seventy-seven million, seven hundred seventy-two thousand, one hundred sixty".