1051516771200 has 768 divisors, whose sum is σ = 4500401241600. Its totient is φ = 234751426560.

The previous prime is 1051516771169. The next prime is 1051516771211. The reversal of 1051516771200 is 21776151501.

It is a happy number.

1051516771200 is a `hidden beast` number, since 1 + 0 + 51 + 516 + 7 + 71 + 20 + 0 = 666.

It is a super-2 number, since 2×1051516771200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25986184 + ... + 26026616.

It is an arithmetic number, because the mean of its divisors is an integer number (5859897450).

Almost surely, 2^{1051516771200} is an apocalyptic number.

1051516771200 is a gapful number since it is divisible by the number (10) 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 1051516771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250200620800).

1051516771200 is an abundant number, since it is smaller than the sum of its proper divisors (3448884470400).

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

1051516771200 is a wasteful number, since it uses less digits than its factorization.

1051516771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40516 (or 40493 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 36.

The spelling of 1051516771200 in words is "one trillion, fifty-one billion, five hundred sixteen million, seven hundred seventy-one thousand, two hundred".