70949520216000 has 448 divisors, whose sum is σ = 260633145951360. Its totient is φ = 18896087347200.

The previous prime is 70949520215993. The next prime is 70949520216011. The reversal of 70949520216000 is 61202594907.

70949520216000 is a `hidden beast` number, since 7 + 0 + 9 + 49 + 520 + 21 + 60 + 0 + 0 = 666.

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

It is a congruent number.

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, 171945934 + ... + 172358066.

It is an arithmetic number, because the mean of its divisors is an integer number (581770415070).

Almost surely, 2^{70949520216000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70949520216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130316572975680).

70949520216000 is an abundant number, since it is smaller than the sum of its proper divisors (189683625735360).

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

70949520216000 is a wasteful number, since it uses less digits than its factorization.

70949520216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412966 (or 412940 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 70949520216000 in words is "seventy trillion, nine hundred forty-nine billion, five hundred twenty million, two hundred sixteen thousand".