1007775457920 has 960 divisors, whose sum is σ = 4567251886560. Its totient is φ = 209402081280.

The previous prime is 1007775457883. The next prime is 1007775457973. The reversal of 1007775457920 is 297545777001.

1007775457920 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 7 + 7 + 545 + 7 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1007775457920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27923727 + ... + 27959793.

Almost surely, 2^{1007775457920} is an apocalyptic number.

1007775457920 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 1007775457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283625943280).

1007775457920 is an abundant number, since it is smaller than the sum of its proper divisors (3559476428640).

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

1007775457920 is a wasteful number, since it uses less digits than its factorization.

1007775457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36123 (or 36095 counting only the distinct ones).

The product of its (nonzero) digits is 4321800, while the sum is 54.

The spelling of 1007775457920 in words is "one trillion, seven billion, seven hundred seventy-five million, four hundred fifty-seven thousand, nine hundred twenty".