200034987264000 has 3072 divisors, whose sum is σ = 876216550809600. Its totient is φ = 44621350502400.

The previous prime is 200034987263989. The next prime is 200034987264173. The reversal of 200034987264000 is 462789430002.

200034987264000 is a `hidden beast` number, since 200 + 0 + 34 + 9 + 8 + 7 + 2 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×200034987264000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 168521471407 + ... + 168521472593.

It is an arithmetic number, because the mean of its divisors is an integer number (285226741800).

Almost surely, 2^{200034987264000} is an apocalyptic number.

200034987264000 is a gapful number since it is divisible by the number (20) 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 200034987264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438108275404800).

200034987264000 is an abundant number, since it is smaller than the sum of its proper divisors (676181563545600).

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

200034987264000 is an frugal number, since it uses more digits than its factorization.

200034987264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 200034987264000 in words is "two hundred trillion, thirty-four billion, nine hundred eighty-seven million, two hundred sixty-four thousand".