1051950219264 has 640 divisors, whose sum is σ = 3622049196480. Its totient is φ = 299267260416.

The previous prime is 1051950219251. The next prime is 1051950219269. The reversal of 1051950219264 is 4629120591501.

1051950219264 is a `hidden beast` number, since 1 + 0 + 51 + 9 + 502 + 1 + 92 + 6 + 4 = 666.

It is a super-2 number, since 2×1051950219264² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1051950219269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4514807692 + ... + 4514807924.

Almost surely, 2^{1051950219264} is an apocalyptic number.

1051950219264 is a gapful number since it is divisible by the number (14) 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 1051950219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811024598240).

1051950219264 is an abundant number, since it is smaller than the sum of its proper divisors (2570098977216).

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

1051950219264 is an frugal number, since it uses more digits than its factorization.

1051950219264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1051950219264 in words is "one trillion, fifty-one billion, nine hundred fifty million, two hundred nineteen thousand, two hundred sixty-four".