470057215572000 has 2304 divisors, whose sum is σ = 1956261041280000. Its totient is φ = 104686210252800.

The previous prime is 470057215571959. The next prime is 470057215572001. The reversal of 470057215572000 is 275512750074.

470057215572000 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 5 + 72 + 1 + 5 + 572 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×470057215572000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (470057215572001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 941998427751 + ... + 941998428249.

It is an arithmetic number, because the mean of its divisors is an integer number (849071632500).

Almost surely, 2^{470057215572000} is an apocalyptic number.

470057215572000 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 470057215572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978130520640000).

470057215572000 is an abundant number, since it is smaller than the sum of its proper divisors (1486203825708000).

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

470057215572000 is a wasteful number, since it uses less digits than its factorization.

470057215572000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 686000, while the sum is 45.

The spelling of 470057215572000 in words is "four hundred seventy trillion, fifty-seven billion, two hundred fifteen million, five hundred seventy-two thousand".