70211750400 has 1440 divisors, whose sum is σ = 299634572160. Its totient is φ = 16057958400.

The previous prime is 70211750393. The next prime is 70211750417. The reversal of 70211750400 is 405711207.

70211750400 is a `hidden beast` number, since 70 + 21 + 175 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 961804764 + ... + 961804836.

It is an arithmetic number, because the mean of its divisors is an integer number (208079564).

Almost surely, 2^70211750400 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 70211750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149817286080).

70211750400 is an abundant number, since it is smaller than the sum of its proper divisors (229422821760).

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

70211750400 is a wasteful number, since it uses less digits than its factorization.

70211750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The spelling of 70211750400 in words is "seventy billion, two hundred eleven million, seven hundred fifty thousand, four hundred".