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1125492338880 = 263357133161757
BaseRepresentation
bin10000011000001100100…
…100100011000011000000
310222121002111101202112000
4100120030210203003000
5121420002014321010
62221013302504000
7144212515014150
oct20301444430300
93877074352460
101125492338880
113a43560a1558
12162165135000
1382197313770
143c68cdb0760
151e4239c67c0
hex1060c9230c0

1125492338880 has 1792 divisors, whose sum is σ = 5133858078720. Its totient is φ = 225740390400.

The previous prime is 1125492338869. The next prime is 1125492338921. The reversal of 1125492338880 is 888332945211.

1125492338880 is a `hidden beast` number, since 1 + 1 + 254 + 9 + 2 + 3 + 388 + 8 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1486779462 + ... + 1486780218.

It is an arithmetic number, because the mean of its divisors is an integer number (2864876160).

Almost surely, 21125492338880 is an apocalyptic number.

1125492338880 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 1125492338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2566929039360).

1125492338880 is an abundant number, since it is smaller than the sum of its proper divisors (4008365739840).

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

1125492338880 is a wasteful number, since it uses less digits than its factorization.

1125492338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1125492338880 in words is "one trillion, one hundred twenty-five billion, four hundred ninety-two million, three hundred thirty-eight thousand, eight hundred eighty".