70221755520 has 1024 divisors, whose sum is σ = 299180851200. Its totient is φ = 15228518400.

The previous prime is 70221755519. The next prime is 70221755531. The reversal of 70221755520 is 2555712207.

70221755520 is a `hidden beast` number, since 70 + 2 + 2 + 17 + 55 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 228735207 + ... + 228735513.

It is an arithmetic number, because the mean of its divisors is an integer number (292168800).

Almost surely, 2^70221755520 is an apocalyptic number.

70221755520 is a gapful number since it is divisible by the number (70) 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 70221755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149590425600).

70221755520 is an abundant number, since it is smaller than the sum of its proper divisors (228959095680).

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

70221755520 is a wasteful number, since it uses less digits than its factorization.

70221755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 70221755520 in words is "seventy billion, two hundred twenty-one million, seven hundred fifty-five thousand, five hundred twenty".